Results 1 to 10 of about 2,139,146 (371)

Refined Wirtinger-type integral inequality [PDF]

open access: yesJournal of Inequalities and Applications, 2018
Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper.
Liansheng Zhang, Shuxia Wang
doaj   +2 more sources

A Novel Generalized Integral Inequality Based on Free Matrices for Stability Analysis of Time-Varying Delay Systems

open access: yesIEEE Access, 2020
This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, Poogyeon Park
doaj   +2 more sources

A Hilbert-type fractal integral inequality and its applications. [PDF]

open access: yesJ Inequal Appl, 2017
By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed briefly.
Liu Q, Sun W.
europepmc   +2 more sources

Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]

open access: yesHeliyon
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman   +4 more
doaj   +2 more sources

A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality

open access: yesAbstract and Applied Analysis, 2014
Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities.
Wei Wei   +5 more
doaj   +2 more sources

Godunova Type Inequality for Sugeno Integral [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we investigate  Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the  Riemann integral and the remaining two integrals are of Sugeno type.
Bayaz Daraby   +2 more
doaj   +1 more source

Some (p, q)-Hardy type inequalities for (p, q)-integrable functions

open access: yesAIMS Mathematics, 2021
In this paper, we study some $(p,q)$-Hardy type inequalities for $(p,q)$-integrable functions. Moreover, we also study $(p,q)$-Hölder integral inequality and $(p,q)$-Minkowski integral inequality for two variables.
Suriyakamol Thongjob   +2 more
doaj   +1 more source

Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger's Integral Inequality

open access: yesComplex, 2021
The problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study.
S. Saravanan   +5 more
semanticscholar   +1 more source

New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function

open access: yesAIMS Mathematics, 2021
In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral.
Yanping Yang   +3 more
doaj   +1 more source

An equivalent condition to the Jensen inequality for the generalized Sugeno integral. [PDF]

open access: yes, 2017
For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral.
Abbaszadeh, Sadegh   +3 more
core   +6 more sources

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