Some fractional integral inequalities via h-Godunova-Levin preinvex function

AIMS Mathematics

Sabila Ali¹  Rana Safdar Ali¹  Miguel Vivas-Cortez²  Shahid Mubeen³  Gauhar Rahman⁴  Kottakkaran Sooppy Nisar⁵ 

[1] 1. Department of Mathematics, University of Lahore, Lahore, Pakistan;2. Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de octubre 1076, Apartado, Quito 17-01-2184, Ecuador;3. Department of Mathematics, University of Sargodha P.O. Box 40100, Sargodha, Pakistan;4. Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan;5. Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia;

关键词: fractional inequalities;    h-godunova-levin convex and preinvex function;    hadamard inequality;   

DOI  :  10.3934/math.2022763

来源: DOAJ

【 摘 要 】

In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different forms of trapezoid type inequalities related to Hermite-Hadamard inequality for h-Godunova-Levin preinvex function. Moreover, we compare our obtained results with the existing work in the literature and are represented by corollaries.

【 授权许可】

Unknown