NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS-Reference-Cited by-同舟云学术

NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS

Published:2020-05 Issue:03 Volume:28 Page:2050037
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

Iftikhar Sabah¹^ORCID,Kumam Poom¹²,Erden Samet³

Affiliation:

1. Center of Excellence in Theoretical and Computational Science (TaCS-CoE), SCL 802 Fixed Point Laboratory, Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

3. Department of Mathematics, Faculty of Science, Bartın University, Bartin, Turkey

Abstract

We firstly establish an identity involving local fractional integrals. Then, with the help of this equality, some new Newton-type inequalities for functions whose the local fractional derivatives in modulus and their some powers are generalized convex are obtained. Some applications of these inequalities for Simpson’s quadrature rules and generalized special means are also given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20500371

Reference18 articles.

Cited by 61 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. Deriving weighted Newton-type inequalities for diverse function classes through Riemann–Liouville fractional integrals;Chaos, Solitons & Fractals;2024-09

2. Fractional Newton‐type integral inequalities by means of various function classes;Mathematical Methods in the Applied Sciences;2024-08-04

3. On error bounds for Milne's formula in conformable fractional operators;Ukrains’kyi Matematychnyi Zhurnal;2024-08-04

4. Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes;Fractal and Fractional;2024-06-26

5. An expanded analysis of local fractional integral inequalities via generalized $(s,P)$-convexity;Journal of Inequalities and Applications;2024-06-07