Quantum Estimates of Ostrowski Inequalities for Generalized φ-Convex Functions

被引：12

作者：

Vivas-Cortez, Miguel J. ^{[1
]}

Kashuri, Artion ^{[2
]}

Liko, Rozana ^{[2
]}

Hernandez Hernandez, Jorge E. ^{[3
]}

机构：

[1] Pontificia Univ Catolica Ecuador, Escuela Ciencias Fis & Matemat, Fac Ciencias Exactas & Nat, Av 12 Octubre 1076, Quito 17012184, Ecuador

[2] Univ Ismail Qemali, Fac Tech Sci, Dept Math, L Pavaresia 1001, Vlora, Albania

[3] Univ Centroccidental Lisandro Alvarado, Dept Tecn Cuantitat, Decanato Ciencias Econ & Empresariales, Av 20 Esq Av Moran,Edf Mil,Piso 2,Ofc 2, Barquisimeto 3001, Venezuela

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 12期

关键词：

ostrowski inequality; quantum estimates; raina's function; generalized convexity; HERMITE-HADAMARD INEQUALITIES; INTEGRAL-INEQUALITIES;

D O I：

10.3390/sym11121513

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, the study is focused on the quantum estimates of Ostrowski type inequalities for q-differentiable functions involving the special function introduced by R.K. Raina which depends on certain parameters. Our methodology involves Jackson's q-integral, the basic concepts of quantum calculus, and a generalization of a class of special functions used in the frame of convex sets and convex functions. As a main result, some quantum estimates for the aforementioned inequality are established and some cases involving the special hypergeometric and Mittag-Leffler functions have been studied and some known results are deduced.

引用

页数：16

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