Results 71 to 80 of about 349,949 (184)
Estimates of Fractional Integral Operators on Variable Exponent Lebesgue Spaces
By some estimates for the variable fractional maximal operator, the authors prove that the fractional integral operator is bounded and satisfies the weak-type inequality on variable exponent Lebesgue spaces.
Canqin Tang, Qing Wu, Jingshi Xu
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We correct a mistake which affect our main results, namely the proof of Lemma 1. The main results of the article remain unchanged.
Ameur Seddik
doaj
An integral operator inequality with applications
Linear integral operators are defined acting in the Lebesgue integration spaces on intervals of the real line. A necessary and sufficient condition is given for these operators to be bounded, and a characterisation is given for the operator bounds ...
Everitt WN, Littlejohn LL, Chisholm RS
doaj
Minkowski’s inequality for the AB-fractional integral operator
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.
Hasib Khan +4 more
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The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul +2 more
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For a continuous and positive function w (λ), λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform D (w, µ) (T ) := ∫0∞w (λ) (λ + T ) −1 dµ (λ) , where the integral is assumed to exist for T a positive operator on a ...
S.S. Dragomir
doaj
NUMERICAL RESULT FOR VARIATIONAL INEQUALITY PROBLEMS WITH EQUALITY CONSTRAINT
In this paper we present some numerical results for illustrating a theoret- ical results obtained in our investigation in the field of variational inequality problems with constraint in the form of operator equation involving monotone operator.
Pham Van Loi
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Operator inequalities via the triangle inequality
This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.
Sababheh, Mohammad +2 more
openaire +2 more sources
Reverses of operator Aczél inequality
In this paper, we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of the operator Aczél inequality dealing with the weighted geometric mean.
Kaleibary, Venus, Furuichi, Shigeru
openaire +3 more sources
Gaussian processes with linear operator inequality constraints
This paper presents an approach for constrained Gaussian Process (GP) regression where we assume that a set of linear transformations of the process are bounded.
Agrell, Christian
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