BOUNDS HAVING RIEMANN TYPE QUANTUM INTEGRALS VIA STRONGLY CONVEX FUNCTIONS

被引：16

作者：

Noor, Muhammad Aslam ^{[1
]}

Cristescu, Gabriela ^{[2
]}

Awan, Muhammad Uzair ^{[3
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Islamabad, Pakistan

[2] Aurel Vlaicu Univ Arad, Dept Math & Comp Sci, BD Revolutiei 77, Arad 310130, Romania

[3] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2017年 / 54卷 / 02期

关键词：

Convex; quantum calculus; inequalities; strongly convex function; INEQUALITIES;

D O I：

10.1556/012.2017.54.2.1363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to obtain some new bounds having Riemann type quantum integrals within the class of strongly convex functions. The results obtained are sharp on limit q -> 1. These new results reduce to Tariboon-Ntouyas, Merentes-Nikodem and other previously known results when q -> 1, where 0 < q < 1. The sharpness of the results of Tariboon-Ntouyas and Merentes-Nikodem is proved as a consequence.

引用

页码：221 / 240

页数：20

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