Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
type: Item
instance of: scholarly article
title: Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
zbMATH Open document ID: 1404.26008
author: Ghulam Farid
author: Waqas Nazeer
author: Muhammad Shoaib Saleem
author: Sajid Mehmood
author: Shin Min Kang
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: In this article, we establish bounds of sum of the left and right sided Riemann-Liouville (RL) fractional integrals and related inequalities in general form. A new and novel approach is followed to obtain these results for general Riemann-Liouville (RL) fractional integrals. Monotonicity and convexity of functions are used with some usual and straight forward inequalities. The presented results are also have connection with some known and already published results. Applications and motivations of presented results are briefly discussed.
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 6994851
zbMATH Keywords: convex functions
zbMATH Keywords: fractional integrals
zbMATH Keywords: bounds
MaRDI profile type: Publication
full work available at URL: math6110248
OpenAlex ID: W2900451839
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Wikidata QID: Q128928560
DOI: 10.3390/MATH6110248
description: scientific article; zbMATH DE number 6994851