Some fractional integral inequalities via $ h $-Godunova-Levin preinvex function-Reference-Cited by-同舟云学术

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

Published:2022 Issue:8 Volume:7 Page:13832-13844
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ali Sabila¹,Ali Rana Safdar¹,Vivas-Cortez Miguel²,Mubeen Shahid³,Rahman Gauhar⁴,Nisar Kottakkaran Sooppy⁵

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference55 articles.

1. C. J. Huang, G. Rahman, K. S. Nisar, A. Ghaffar, F. Qi, Some inequalities of Hermite-Hadamard type for $k$-fractional conformable integrals, Australian J. Math. Anal. Appl., 16 (2019), 1–9.

2. K. S. Nisar, G. Rahman, K. Mehrez, Chebyshev type inequalities via generalized fractional conformable integrals, J. Inequal. Appl., 2019 (2019), 245. https://doi.org/10.1186/s13660-019-2197-1

3. K.S. Niasr, A. Tassadiq, G. Rahman, A. Khan, Some inequalities via fractional conformable integral operators, J. Inequal. Appl., 2019 (2019), 217. https://doi.org/10.1186/s13660-019-2170-z

4. F. Qi, G. Rahman, S. M. Hussain, W. S. Du, K. S. Nisar, Some inequalities of Čebyšev type for conformable $k$-fractional integral operators, Symmetry, 2018 (2018), 614. https://doi.org/10.3390/sym10110614

5. G. Rahman, K. S. Nisar, F. Qi, Some new inequalities of the Gruss type for conformable fractional integrals, AIMS Math., 3 (2018), 575–583.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hermite-Hadamard, Fejér and trapezoid type inequalities using Godunova-Levin Preinvex functions via Bhunia's order and with applications to quadrature formula and random variable;Mathematical Biosciences and Engineering;2024

2. Some properties and inequalities for generalized class of harmonical Godunova-Levin function via center radius order relation;AIMS Mathematics;2023

3. Some Novel Estimates of Hermite–Hadamard and Jensen Type Inequalities for (h1,h2)-Convex Functions Pertaining to Total Order Relation;Mathematics;2022-12-15

4. Some H-Godunova–Levin Function Inequalities Using Center Radius (Cr) Order Relation;Fractal and Fractional;2022-09-14

5. Some new estimates of well known inequalities for $ (h_1, h_2) $-Godunova-Levin functions by means of center-radius order relation;AIMS Mathematics;2022