Estimates of upper bound for differentiable functions associated with \(k\)-fractional integrals and higher order strongly \(s\)-convex functions
type: Item
instance of: scholarly article
title: Estimates of upper bound for differentiable functions associated with \(k\)-fractional integrals and higher order strongly \(s\)-convex functions
zbMATH Open document ID: 1444.26022
DOI: 10.1155/2020/5091857
author: Muhammad Uzair Awan
author: Zakria Javed
author: Shanhe Wu
published in: Journal of Function Spaces
publication date: 2020-07-15T00:00:00Z
review text: In this paper, the author derived and proved two new identities involving differentiable functions and \(k\)-Riemann Liouville integrals. Using these new identities, the authors derived estimates of the upper bound for functions whose first or second derivatives absolute values are higher order strongly \(s\)-convex functions. A special case \((k,s,\sigma)=(1,1,2)\) in the results obtained yield the estimates of the upper bound of the function for the classical Riemann-Liouville fractional integral and strongly convex functions.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 7220562
zbMATH Keywords: \(k\)-Riemann Liouville integrals
zbMATH Keywords: strongly \(s\)-convex function
zbMATH Keywords: fractional derivatives
zbMATH Keywords: \(k\)-gamma function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/5091857
OpenAlex ID: W3038614738
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description: scientific article; zbMATH DE number 7220562