Results 51 to 60 of about 1,954,320 (272)
Some generalized Riemann-Liouville k-fractional integral inequalities
Journal of Inequalities and Applications, 2016 The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal +2 more
doaj +1 more source
On Some Integral Inequalities via Conformable Fractional Integrals
Applied Mathematics and Nonlinear Sciences, 2020 In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
A. Akdemi̇r, E. Deniz, Ebru Yüksel
semanticscholar +1 more source
International Journal of Computational Intelligence Systems, 2022 In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are ...
H. Srivastava +4 more
semanticscholar +1 more source
New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications
, 2020 In this study, a few inequalities of Hermite–Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the conformable fractional parameter.
T. Abdeljawad, P. Mohammed, A. Kashuri
semanticscholar +1 more source
New developments in fractional integral inequalities via convexity with applications
AIMS Mathematics, 2023 The main objective of this article is to build up a new integral equality related to Riemann Liouville fractional (RLF) operator. Based on this integral equality, we show numerous new inequalities for differentiable convex as well as concave functions ...
Maimoona Karim +4 more
doaj +1 more source
Journal of Inequalities and Applications, 2020 In this paper we have derived the fractional integral inequalities by defining exponentially (s,m)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
Xiaoli Qiang +3 more
semanticscholar +1 more source
Minimal Conditions for Implications of Gronwall-Bellman Type [PDF]
, 2016 Gronwall-Bellman type inequalities entail the following implication: if a sufficiently integrable function satisfies a certain homogeneous linear integral inequality, then it is nonpositive.
Herdegen, Martin, Herrmann, Sebastian
core +2 more sources
On Bellman-Bihari integral inequalities
International Journal of Mathematics and Mathematical Sciences, 1982 Integral inequalities of the Bellman-Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
doaj +1 more source
AIMS Mathematics, 2020 This paper proposes novel single and double integral inequalities with arbitrary approximation order by employing shifted Legendre polynomials and Cholesky decomposition, and these inequalities could significantly reduce the conservativeness in stability
Deren Gong +4 more
doaj +1 more source
On Some New Impulsive Integral Inequalities
Journal of Inequalities and Applications, 2008 We establish some new impulsive integral inequalities related to certain integral inequalities arising in the theory of differential equalities. The inequalities obtained here can be used as handy tools in the theory of some classes of impulsive ...
Jianli Li
doaj +2 more sources