FRACTIONAL TRAPEZIUM-TYPE INEQUALITIES FOR STRONGLY EXPONENTIALLY GENERALIZED PREINVEX FUNCTIONS WITH APPLICATIONS

被引：3
|
作者：
Kashuri, Artion [1 ]
Rassias, Themistocles M. [2 ]
机构：
[1] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania
[2] Natl Tech Univ Athens, Dept Math, Athens, Greece
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2020年 / 14卷 / 03期
关键词：
Trapezium-type integral inequalities; preinvexit; exponential convex function; general fractional integrals; HERMITE-HADAMARD TYPE; CONVEX-FUNCTIONS; INTEGRALS;
D O I：
10.2298/AADM190220038K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to introduce a new extension of preinvexity called strongly exponentially generalized (m, omega(1), omega(2), h(1), h(2))-preinvexity. Some new integral inequalities of trapezium-type for strongly exponentially generalized (m, omega(1), omega(2), h(1), h(2))-preinvex functions with modulus c via Riemann-Liouville fractional integral are established. Also, some new estimates with respect to trapezium-type integral inequalities for strongly exponentially generalized (m, omega(1), omega(2), h(1), h(2))-preinvex functions with modulus c via general fractional integrals are obtained. We show that the class of strongly exponentially generalized (m, omega(1), omega(2), h(1), h(2))-preinvex functions with modulus c includes several other classes of preinvex functions. At the end, some new error estimates for trapezoidal quadrature formula are provided as well. This results may stimulate further research in different areas of pure and applied sciences.
引用
收藏
页码：560 / 578
页数：19
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