Results 31 to 40 of about 1,680 (149)

Ostrowski type fractional integral inequalities for MT-convex functions

open access: yes, 2015
Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
semanticscholar   +1 more source

Opial type inequalities for double Riemann-Stieltjes integrals

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
In this paper, we establish some Opial type inequalities for Riemann-Stieltjes integrals of functions with two variables. The obtained inequalities generalize those previously demonstrated (see [2])
Budak Hüseyin
doaj   +1 more source

On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators

open access: yes, 2016
In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the ...
S. Ntouyas, P. Agarwal, J. Tariboon
semanticscholar   +1 more source

TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS

open access: yesInternational Journal of Apllied Mathematics, 2019
We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
semanticscholar   +1 more source

Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions

open access: yesOpen Mathematics, 2022
In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J.   +4 more
doaj   +1 more source

Analysis of Cauchy problem with fractal-fractional differential operators

open access: yesDemonstratio Mathematica, 2023
Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain   +2 more
doaj   +1 more source

New Hardy-Type Inequalities with Singular Weights [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 26D10.We prove a new Hardy–type inequality with weights that are possibly singular at internal point and on the boundary of the domain.
Fabricant, Alexander   +2 more
core  

Characterization of the monotone polar of subdifferentials

open access: yes, 2013
We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
core   +3 more sources

Hilbert-type inequalities involving differential operators, the best constants, and applications

open access: yes, 2015
Motivated by some recent results, in this article we derive several Hilbert-type inequalities with a differential operator, regarding a general homogeneous kernel.
V. Adiyasuren   +2 more
semanticscholar   +1 more source

An extension by means of ω-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities

open access: yes, 2020
In this paper, we aim at establishing an analog of the recently published results [1] with the help of new k− type fractional integral operator Rω [ f ](t) , which is introduced here by using the ω -weighted classes.
P. Agarwal, J. Restrepo
semanticscholar   +1 more source

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