Results 31 to 40 of about 591,621 (304)

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

open access: yesAdvances in Difference Equations, 2021
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi   +4 more
doaj   +1 more source

Dynamical significance of generalized fractional integral inequalities via convexity

open access: yesAIMS Mathematics, 2021
The main goal of this paper is to develop the significance of generalized fractional integral inequalities via convex functions. We obtain the new version of fractional integral inequalities with the extended Wright generalized Bessel function acting as ...
Sabila Ali   +7 more
doaj   +1 more source

Refinements of Young's integral inequality via fundamental inequalities and mean value theorems for derivatives [PDF]

open access: yesChapter 8 in: Hemen Dutta (ed.), Topics in Contemporary Mathematical Analysis and Applications, pp. 193--227, CRC Press, 2021, 2020
In the paper, the authors review several refinements of Young's integral inequality via several mean value theorems, such as Lagrange's and Taylor's mean value theorems of Lagrange's and Cauchy's type remainders, and via several fundamental inequalities, such as \v{C}eby\v{s}ev's integral inequality, Hermite--Hadamard's type integral inequalities, H ...
arxiv   +1 more source

On Some New Impulsive Integral Inequalities

open access: yesJournal 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

Hypoelliptic functional inequalities [PDF]

open access: yes, 2018
In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups.
Ruzhansky, Michael   +1 more
core   +2 more sources

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

open access: yesFractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
doaj   +1 more source

A New Ostrowski’s Type Inequality for Quadratic Kernel

open access: yesInternational Journal of Analysis and Applications, 2022
From the past few decades, the integral inequalities have been extensively researched. Integral inequalities are applied in innumerable mathematical problems.
M. M. Saleem   +4 more
doaj   +1 more source

On Bellman-Bihari integral inequalities

open access: yesInternational 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

Minimal Conditions for Implications of Gronwall-Bellman Type [PDF]

open access: yes, 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

Shifted Legendre polynomials-based single and double integral inequalities with arbitrary approximation order: Application to stability of linear systems with time-varying delays

open access: yesAIMS 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

Home - About - Disclaimer - Privacy