New Estimates for Hermite-Hadamard Inequality in Quantum Calculus via (alpha, m) Convexity

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Mdpi

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This study provokes the existence of quantum Hermite-Hadamard inequalities under the concept of q-integral. We analyse and illustrate a new identity for the differentiable function mappings whose second derivatives in absolute value are (alpha, m) convex. Some basic inequalities such as Holder's and Power mean have been used to obtain new bounds and it has been determined that the main findings are generalizations of many results that exist in the literature. We make links between our findings and a number of well-known discoveries in the literature. The conclusion in this study unify and generalise previous findings on Hermite-Hadamard inequalities.

Açıklama

Anahtar Kelimeler

Quantum Calculus; Hermite-Hadamard Inequalities; (Alpha, M) Convexity

Kaynak

Symmetry-Basel

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

14

Sayı

7

Künye