Fractional Simpson-like Inequalities with Parameter for Differential s-tgs-Convex Functions
-
Published:2023-10-24
Issue:11
Volume:7
Page:772
-
ISSN:2504-3110
-
Container-title:Fractal and Fractional
-
language:en
-
Short-container-title:Fractal Fract
Author:
Merad Meriem1, Meftah Badreddine1, Boulares Hamid1, Moumen Abdelkader2ORCID, Bouye Mohamed3
Affiliation:
1. Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria 2. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia 3. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Abstract
In this paper, we first prove a new parameterized identity. Based on this identity we establish some parametrized Simpson-like type symmetric inequalities, for functions whose first derivatives are s-tgs-convex via Reimann–Liouville frational operators. Some special cases are discussed. Applications to numerical quadrature are provided.
Funder
Deanship of Scientific Research at King Khalid University
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference19 articles.
1. Boulares, H., Meftah, B., Moumen, A., Shafqat, R., Saber, H., Alraqad, T., and Ali, E.E. (2023). Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable Functions. Symmetry, 15. 2. Moumen, A., Boulares, H., Meftah, B., Shafqat, R., Alraqad, T., Ali, E.E., and Khaled, Z. (2023). Multiplicatively Simpson Type Inequalities via Fractional Integral. Symmetry, 15. 3. Chiheb, T., Boulares, H., Imsatfia, M., Meftah, B., and Moumen, A. (2023). On s-Convexity of Dual Simpson Type Integral Inequalities. Symmetry, 15. 4. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). North-Holland Mathematics Studies, 204, Elsevier Science B.V. 5. Pečarić, J.E., Proschan, F., and Tong, Y.L. (1992). Mathematics in Science and Engineering, 187, Academic Press, Inc.
Cited by
1 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
|
|