Results 11 to 20 of about 33,262 (259)

On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

open access: yesAxioms, 2021
In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane   +3 more
doaj   +1 more source

Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{\ast}$-module $\mathcal{H}$ to  itself denoted by $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $.
Hatim Labrigui, Samir Kabbaj
doaj   +1 more source

Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity

open access: yesAxioms, 2022
This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova   +2 more
doaj   +1 more source

A Univalence Preserving Integral Operator

open access: yesJournal of Inequalities and Applications, 2008
We define an integral operator denoted by I, and we give sufficient conditions such that F=I(f1,f2,…,fm) is univalent.
Georgia Irina Oros
doaj   +2 more sources

A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
doaj   +1 more source

Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

open access: yesJournal of Function Spaces, 2022
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao   +4 more
doaj   +1 more source

On Integral Operators

open access: yesJournal of Mathematical Analysis and Applications, 1999
Let \(f_n(z)= z/(1- z)^{n+ 1}\), \(n\in N_0\), and \(f^{(-1)}_n\) be defined such that \(f_n* f^{-1}_n= {z\over 1-z}\), where \(*\) denotes convolution (Hadamard product). Let \(f\) be analytic in the unit disc \(E\). The authors introduce a new operator \(I_nf= f^{(-1)}_n* f\) which is analogous to one defined by Ruscheweyh.
Inayat Noor, Khalida   +1 more
openaire   +1 more source

Operators with an integral reprsentation [PDF]

open access: yesProceedings of the American Mathematical Society, 2016
We introduce a fairly large class of bounded linear operators between Banach spaces which admit an integral representation. It turns out that an operator belongs to this class if and only if it factors through a
CILIA, Raffaela Giovanna, Gutierrez JM
openaire   +1 more source

Euler-Type Integral Operator Involving S-Function

open access: yesAbstract and Applied Analysis, 2020
The object of the present paper is to establish some interested theorems on Euler-type integrals involving S-function, which is defined by Saxena and Daiya. Further, we reduce some special cases involving various known functions like the k-Mittag-Leffler
D. L. Suthar, Teklay Hailay
doaj   +1 more source

Research on Generalized Sugeno Fuzzy Probability Integral Based on t-Modular Operator

open access: yesJournal of Harbin University of Science and Technology, 2021
Fuzzy probability integral is an important part of fuzzy mathematics,and it is an integral form which combines fuzzy probability with integral. In this paper,a quasi-multiplication operator and a quasi-sum operator are designed by using the definition ...
ZHANO Hui, JIANG Xin-ge, SHAN Yun-xiao
doaj   +1 more source

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