On Hermite-Hadamard type inequalities for newly defined generalized quantum integrals

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Tarih

2021

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Yayıncı

Springer-Verlag Italia Srl

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called T-q-integrals. We also give some examples of each of these given integrals. Then we establish corresponding T-q-Hermite-Hadamard type inequalities for co-ordinated convex functions. In order to show correctness of our results, we apply our main theorems to several co-ordinated convex functions.

Açıklama

Anahtar Kelimeler

Hermite-Hadamard inequality, q-integral, T-q-integral, Quantum calculus, Co-ordinated convexity, Convex-Functions, Rectangle

Kaynak

Ricerche Di Matematica

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Q2

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