Integral inequalities via harmonically h-convexity-Reference-Cited by-同舟云学术

Integral inequalities via harmonically h-convexity

Published:2021-03-30 Issue:3 Volume:7 Page:385-399
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Merad Meriem¹,Meftah Badreddine¹²,Souahi Abdourazek³

Affiliation:

1. Département des Mathématiques, Faculté des mathématiques, de l’informatique et des sciences de la matière , Université 8 mai 1945 Guelma , Algeria .

2. Laboratoire des télécommunications , Faculté des Sciences et de la Technologie , Université 8 mai 1945 Guelma , P.O. Box 401, 24000 Guelma , Algeria .

3. Laboratory of Advanced Materials , University Badji Mokhtar Annaba , Algeria .

Abstract

Abstract In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions. The obtained results are mainly based on the identity given by M. A. Noor, K. I. Noor and S. Iftikhar in [17].

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2021-0026

Reference21 articles.

1. [1] I. Ahmad, Integral inequalities under beta function and preinvex type functions. SpringerPlus. 5 (2016), no. 1, p. 1-6.

2. [2] J. Chen and X. Huang, Some integral inequalities via (h – (α, m))-logarithmically convexity. J. Comput. Anal. Appl. 20 (2016), no. 2, 374–380.

3. [3] İ. İşcan, M. Aydin and S. Dikmenoglu, New integral inequalities via harmonically convex functions. Mathematics and Statistics 3 (2015), no. 5, 134-140.

4. [4] A. Kashuri and R. Liko, Hermite-Hadamard type fractional integral inequalities for generalized (r, s, m, φ)-preinvex functions. European Journal of Pure and Applied Mathematics. 10 (2017), no. 3, 495-505.

5. [5] A. Kashuri and R. Liko, Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm−preinvex functions. Proyecciones 36 (2017), no. 1, 45–80.