On generalizations of some inequalities for convex functions via quantum integrals

On generalizations of some inequalities for convex functions via quantum integrals

In this paper, some new Simpson’s second type quantum integral inequalities are established for convex functions. Some special cases are discussed for the case q → 1 - . Moreover, some inequalities related to Simpson’s 3 8 formula are obtained.

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Veröffentlicht in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2020-07, Vol.114 (3), Article 110
Hauptverfasser: Erden, Samet, Iftikhar, Sabah, Delavar, Mohsen Rostamian, Kumam, Poom, Thounthong, Phatiphat, Kumam, Wiyada
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Convex analysis
Inequalities
Integrals
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
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Beschreibung
Zusammenfassung:In this paper, some new Simpson’s second type quantum integral inequalities are established for convex functions. Some special cases are discussed for the case q → 1 - . Moreover, some inequalities related to Simpson’s 3 8 formula are obtained.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-020-00841-3