On Integral Inequalities Involving Generalized Lipschitzian Functions

On Integral Inequalities Involving Generalized Lipschitzian Functions

A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of function spaces 2020, Vol.2020 (2020), p.1-6, Article 8834149
Hauptverfasser: Jleli, Mohamed, Samet, Bessem
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Inequalities
Integrals
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 6
container_issue 2020
container_start_page 1
container_title Journal of function spaces
container_volume 2020
creator Jleli, Mohamed
Samet, Bessem
description A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.
doi_str_mv 10.1155/2020/8834149
format Article
fullrecord <record><control><sourceid>proquest_webof</sourceid><recordid>TN_cdi_webofscience_primary_000594099600002CitationCount</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_825fe492afbe4d1fadcaff4dc29caf26</doaj_id><sourcerecordid>2460648490</sourcerecordid><originalsourceid>FETCH-LOGICAL-c383t-f41cd04e703715e14c23954c4d1e0ae896b9174204638633a50250d83e3e333</originalsourceid><addsrcrecordid>eNqNkM1PYyEUxV8mmmjUnWvTxOXYkY_LKyxNo06TJi6cPaG8S6V5AxV4mvGvl84zdamw4AC_e-7NaZpzSn5RKsQ1I4xcS8mBgvrRHDNOYSrrOthr1R41ZzlvCCGUKgpCHDe3D2GyCAXXyfRV4PNgel885np5if2LD-vJPQas3_4Nu8nSb7N98uXNmzC5G4ItPoZ82hw602c8-zhPmse72z_z39Plw_1ifrOcWi55mTqgtiOAM8JnVCAFy7gSYKGjSAzWAVeKzoARaLlsOTeCMEE6ybFuzk-axejaRbPR2-T_mvRPR-P1_4eY1tqk4m2PWjLhEBQzboXV3ZnOGuegs0xVwdrqdTl6bVN8HjAXvYlDCnV4zaAlLUhQpFJXI2VTzDmh23elRO9S17vU9UfqFZcj_oqr6LL1GCzuS2rsQgFRqq2KsLkvZhfePA6h1NKf3y_9pJ986Myr_2qsi5HGyqAznzSVQrUz_g65Harc</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2460648490</pqid></control><display><type>article</type><title>On Integral Inequalities Involving Generalized Lipschitzian Functions</title><source>DOAJ Directory of Open Access Journals</source><source>Web of Science - Science Citation Index Expanded - 2020&lt;img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" /&gt;</source><source>Wiley Online Library (Open Access Collection)</source><source>Alma/SFX Local Collection</source><creator>Jleli, Mohamed ; Samet, Bessem</creator><contributor>Vetro, Pasquale ; Pasquale Vetro</contributor><creatorcontrib>Jleli, Mohamed ; Samet, Bessem ; Vetro, Pasquale ; Pasquale Vetro</creatorcontrib><description>A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.</description><identifier>ISSN: 2314-8896</identifier><identifier>EISSN: 2314-8888</identifier><identifier>DOI: 10.1155/2020/8834149</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Applied mathematics ; Inequalities ; Integrals ; Mathematics ; Mathematics, Applied ; Physical Sciences ; Science &amp; Technology</subject><ispartof>Journal of function spaces, 2020, Vol.2020 (2020), p.1-6, Article 8834149</ispartof><rights>Copyright © 2020 Mohaemd Jleli and Bessem Samet.</rights><rights>Copyright © 2020 Mohaemd Jleli and Bessem Samet. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>true</woscitedreferencessubscribed><woscitedreferencescount>0</woscitedreferencescount><woscitedreferencesoriginalsourcerecordid>wos000594099600002</woscitedreferencesoriginalsourcerecordid><cites>FETCH-LOGICAL-c383t-f41cd04e703715e14c23954c4d1e0ae896b9174204638633a50250d83e3e333</cites><orcidid>0000-0002-6769-3417 ; 0000-0002-6095-5875</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,865,878,2103,2115,4025,27928,27929,27930,28253</link.rule.ids></links><search><contributor>Vetro, Pasquale</contributor><contributor>Pasquale Vetro</contributor><creatorcontrib>Jleli, Mohamed</creatorcontrib><creatorcontrib>Samet, Bessem</creatorcontrib><title>On Integral Inequalities Involving Generalized Lipschitzian Functions</title><title>Journal of function spaces</title><addtitle>J FUNCT SPACE</addtitle><description>A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.</description><subject>Applied mathematics</subject><subject>Inequalities</subject><subject>Integrals</subject><subject>Mathematics</subject><subject>Mathematics, Applied</subject><subject>Physical Sciences</subject><subject>Science &amp; Technology</subject><issn>2314-8896</issn><issn>2314-8888</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>AOWDO</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>DOA</sourceid><recordid>eNqNkM1PYyEUxV8mmmjUnWvTxOXYkY_LKyxNo06TJi6cPaG8S6V5AxV4mvGvl84zdamw4AC_e-7NaZpzSn5RKsQ1I4xcS8mBgvrRHDNOYSrrOthr1R41ZzlvCCGUKgpCHDe3D2GyCAXXyfRV4PNgel885np5if2LD-vJPQas3_4Nu8nSb7N98uXNmzC5G4ItPoZ82hw602c8-zhPmse72z_z39Plw_1ifrOcWi55mTqgtiOAM8JnVCAFy7gSYKGjSAzWAVeKzoARaLlsOTeCMEE6ybFuzk-axejaRbPR2-T_mvRPR-P1_4eY1tqk4m2PWjLhEBQzboXV3ZnOGuegs0xVwdrqdTl6bVN8HjAXvYlDCnV4zaAlLUhQpFJXI2VTzDmh23elRO9S17vU9UfqFZcj_oqr6LL1GCzuS2rsQgFRqq2KsLkvZhfePA6h1NKf3y_9pJ986Myr_2qsi5HGyqAznzSVQrUz_g65Harc</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Jleli, Mohamed</creator><creator>Samet, Bessem</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Publishing Group</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AOWDO</scope><scope>BLEPL</scope><scope>DTL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7XB</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M7S</scope><scope>P62</scope><scope>PATMY</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>Q9U</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-6769-3417</orcidid><orcidid>https://orcid.org/0000-0002-6095-5875</orcidid></search><sort><creationdate>2020</creationdate><title>On Integral Inequalities Involving Generalized Lipschitzian Functions</title><author>Jleli, Mohamed ; Samet, Bessem</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-f41cd04e703715e14c23954c4d1e0ae896b9174204638633a50250d83e3e333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Applied mathematics</topic><topic>Inequalities</topic><topic>Integrals</topic><topic>Mathematics</topic><topic>Mathematics, Applied</topic><topic>Physical Sciences</topic><topic>Science &amp; Technology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jleli, Mohamed</creatorcontrib><creatorcontrib>Samet, Bessem</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>Web of Science - Science Citation Index Expanded - 2020</collection><collection>Web of Science Core Collection</collection><collection>Science Citation Index Expanded</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>Agricultural &amp; Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>Natural Science Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>Middle East &amp; Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Engineering Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Journal of function spaces</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jleli, Mohamed</au><au>Samet, Bessem</au><au>Vetro, Pasquale</au><au>Pasquale Vetro</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Integral Inequalities Involving Generalized Lipschitzian Functions</atitle><jtitle>Journal of function spaces</jtitle><stitle>J FUNCT SPACE</stitle><date>2020</date><risdate>2020</risdate><volume>2020</volume><issue>2020</issue><spage>1</spage><epage>6</epage><pages>1-6</pages><artnum>8834149</artnum><issn>2314-8896</issn><eissn>2314-8888</eissn><abstract>A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2020/8834149</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0002-6769-3417</orcidid><orcidid>https://orcid.org/0000-0002-6095-5875</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 2314-8896
ispartof Journal of function spaces, 2020, Vol.2020 (2020), p.1-6, Article 8834149
issn 2314-8896
2314-8888
language eng
recordid cdi_webofscience_primary_000594099600002CitationCount
source DOAJ Directory of Open Access Journals; Web of Science - Science Citation Index Expanded - 2020<img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" />; Wiley Online Library (Open Access Collection); Alma/SFX Local Collection
subjects Applied mathematics
Inequalities
Integrals
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
title On Integral Inequalities Involving Generalized Lipschitzian Functions
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-10T05%3A54%3A42IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_webof&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20Integral%20Inequalities%20Involving%20Generalized%20Lipschitzian%20Functions&rft.jtitle=Journal%20of%20function%20spaces&rft.au=Jleli,%20Mohamed&rft.date=2020&rft.volume=2020&rft.issue=2020&rft.spage=1&rft.epage=6&rft.pages=1-6&rft.artnum=8834149&rft.issn=2314-8896&rft.eissn=2314-8888&rft_id=info:doi/10.1155/2020/8834149&rft_dat=%3Cproquest_webof%3E2460648490%3C/proquest_webof%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2460648490&rft_id=info:pmid/&rft_doaj_id=oai_doaj_org_article_825fe492afbe4d1fadcaff4dc29caf26&rfr_iscdi=true