Results 21 to 30 of about 593,721 (128)

On some classical integral inequalities in the setting of new post quantum integrals

open access: yesAIMS Mathematics, 2023
In this article, we introduce the notion of $ _{a}{\bar{T}}_{p,q} $-integrals. Using the definition of $ _{a}{\bar{T}}_{p,q} $-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Hölder's inequality ...
Bandar Bin-Mohsin   +6 more
doaj   +1 more source

On The Reverse Minkowski’s Integral Inequality

open access: yesKragujevac Journal of Mathematics, 2022
The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p <
Bouharket Benaissa
semanticscholar   +1 more source

Minkowski’s inequality for the AB-fractional integral operator

open access: yesJournal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
H. Khan   +4 more
semanticscholar   +1 more source

A generalization of Minkowski’s inequality by Hahn integral operator

open access: yesJournal of Taibah University for Science, 2018
In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
H. Khan   +4 more
semanticscholar   +1 more source

Minkowski’s Inequality Based Sensitivity Analysis of Fuzzy Signatures

open access: yesJournal of Artificial Intelligence and Soft Computing Research, 2016
Fuzzy signatures were introduced as special tools to describe and handle complex systems without their detailed mathematical models. The input parameters of these systems naturally have uncertainties, due to human activities or lack of precise data ...
I. Harmati, Á. Bukovics, L. Kóczy
semanticscholar   +1 more source

Diamond-α Jensen's Inequality on Time Scales

open access: yesJournal of Inequalities and Applications, 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla ...
Delfim F. M. Torres   +2 more
doaj   +1 more source

The Hölder and Minkowski Inequalities Utilizing a Fractional Operator Involvement of Pseudo-Operator [PDF]

open access: yesSahand Communications in Mathematical Analysis
A generalized integral operator of order $\alpha$ of a real function $f$  including a parameter set $P$, namely $K_P^\alpha f(t)$ has been introduced by O. P.
Hadiseh Fallah Andevari   +2 more
doaj   +1 more source

On Jensen’s inequality, Hölder’s inequality, and Minkowski’s inequality for dynamically consistent nonlinear evaluations

open access: yes, 2015
In this paper, the dynamically consistent nonlinear evaluations that were introduced by Peng are considered in probability space L2(Ω,F,(Ft)t≥0,P)$L^{2} (\Omega,{\mathcal{F}}, ({\mathcal {F}}_{t} )_{t\geq0},P )$.
Zhaojun Zong, F. Hu, C. Yin, Helin Wu
semanticscholar   +1 more source

The converse of the Minkowski’s inequality theorem and its generalization

open access: yes, 1990
Let (£2, X, p.) be a measure space with two sets A, B el. such that 0 :R+ -+ R+ be bijective and (i> continuous at 0. We prove that if for all //-integrable step functions JCy:fi->R, ~X (I 1 .
J. Matkowski
semanticscholar   +1 more source

Minkowski’s inequality for two variable difference means

open access: yes, 1998
We study Minkowski’s inequality Da b(x1 + x2, y1 + y2) ≤ Da b(x1, y1) +Da b(x2, y2) (x1, x2, y1, y2 ∈ R+) and its reverse where Da b is the difference mean introduced by Stolarsky. We give necessary and sufficient conditions (concerning the parameters a,
L. Losonczi, Zsolt Páles
semanticscholar   +1 more source

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