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.

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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
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Zusammenfassung: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/8834149