نتایج جستجو برای: Pseudo-integral

تعداد نتایج: 163765  

Journal: :sahand communications in mathematical analysis 0
bayaz daraby department of mathematics, university of maragheh, maragheh, iran.

in this paper, some results of the chebyshev type integral inequality for the pseudo-integral are proven. the obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. finally, we applied our results  to the case of comonotone functions.

Journal: :Transactions of the American Mathematical Society 1979

Journal: :Applied Mathematics and Computation 2014
Dong-Qing Li Xiao-Qiu Song Tian Yue Ya-Zhi Song

We prove two kinds of Lyapunov type inequalities for pseudo-integrals. One discusses pseudo-integrals where pseudo-operations are given by a monotone and continuous function g. The other one focuses on the pseudo-integrals based on a semiring 0; 1 ½ Š; sup; ð Þ , where the pseudo-multiplication is generated. Some examples are given to illustrate the validity of these inequalities. As a generali...

In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results  to the case of comonotone functions.

Journal: :Georgian Mathematical Journal 2022

Abstract In this paper, we have derived certain classical inequalities, namely Young’s, Hölder’s, Minkowski’s and the Hermite–Hadamard inequalities for a pseudo-integral (also known as g -integral). For Hölder’s cases p &gt; 1 {p&gt;1} &lt; {p&lt;1} , ≠</m...

2007
Tatjana Grbic Ivana Stajner-Papuga Ljubo Nedovic

An approach to the integration of set-valued functions based on the pseudo-integral has been proposed. Some basic properties of the pseudo-integral of set-valued functions have been shown.

2001
MAMADOU TRAORE

We extend the concept of fuzzy integral based on ⊕-decomposable measure from nonnegative fuzzy measurable function to extended real-valued fuzzy measurable function. Further investigations of fuzzy integrals based on pseudo-additive decomposable measure are carried out. Meanwhile, the space (S(μ),σ(·,·)) of all fuzzy measurable function will be proved to be a pseudo-metric space. Finally, as an...

2006
Ivana Štajner-Papuga

Pseudo-Laplace transform is an important notion from pseudo-analysis’ framework that is often used in dealing with differential or integral equation. The (⊕, ̄)-Laplace transform considered here is a generalization of the pseudo-Laplace transform based on a special class of generalized pseudo-operations that need not be commutative nor associative. This pseudo-Laplace type transform has been use...

Journal: :Mathematical Problems in Engineering 2018

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