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
收藏
页数：16
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