A Quantum Calculus View of Hermite-Hadamard-Jensen-Mercer Inequalities with Applications

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Mdpi

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we derive some new quantum estimates of generalized Hermite-Hadamard-Jensen-Mercer type of inequalities, essentially using q-differentiable convex functions. With the help of numerical examples, we check the validity of the results. We also discuss some special cases which show that our results are quite unifying. To show the efficiency of our main results, we offer some interesting applications to special means.

Açıklama

Anahtar Kelimeler

Convex Function; Quantum Calculus; Jensen-Mercer Inequalities; Differentiable Function; Means, Convex-Functions; Midpoint

Kaynak

Symmetry-Basel

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

14

Sayı

6

Künye