Results 21 to 30 of about 3,111,772 (368)

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

Sahand 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

Axioms, 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, Burkhan Kalimbetov, Valeriy Safonov   +2 more
doaj   +1 more source

On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus

Journal of Function Spaces, 2020
In the article, we present several generalizations for the generalized Čebyšev type inequality in the frame of quantum fractional Hahn’s integral operator by using the quantum shift operator  σΨqς=qς+1−qσς∈l1,l2,σ=l1+ω/1−q ...
S. Rashid, A. Khalid, G. Rahman, K. Nisar, Y. Chu   +4 more
semanticscholar   +1 more source

On a New Generalized Integral Operator and Certain Operating Properties

Axioms, 2020
In this paper, we present a general definition of a generalized integral operator which contains as particular cases, many of the well-known, fractional and integer order integrals.
Paulo M. Guzman, L. M. Lugo, J. E. Valdés, Miguel J. Vivas-Cortez   +3 more
semanticscholar   +1 more source

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

Journal 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, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon   +4 more
doaj   +1 more source

BCR algorithm and the $T(b)$ theorem [PDF]

, 2007
We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
core   +3 more sources

Q-operator and factorised separation chain for Jack polynomials [PDF]

, 2003
Applying Baxter's method of the Q-operator to the set of Sekiguchi's commuting partial differential operators we show that Jack polynomials P(x_1,...,x_n) are eigenfunctions of a one-parameter family of integral operators Q_z.
Andrews, Awata, Baxter, Baxter, Baxter, Bazhanov, Calogero, Cauchy, Derkachov, Evgeny K. Sklyanin, Fox, Frobenius, Jack, Jack, Jack, James, Koornwinder, Koornwinder, Kuznetsov, Kuznetsov, Kuznetsov, Kuznetsov, Kuznetsov, Kuznetsov, Kuznetsov, Kuznetsov, Macdonald, Mangazeev, Mangazeev, Mimachi, Okounkov, Olshanetsky, Pasquier, Pronko, Pronko, Sekiguchi, Sklyanin, Sklyanin, Stanley, Sutherland, Sutherland, Vadim B. Kuznetsov, Vladimir V. Mangazeev   +42 more
core   +2 more sources

A boundedness result for Marcinkiewicz integral operator

Open Mathematics, 2020
We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
doaj   +1 more source

On Integral Operators

Journal of Mathematical Analysis and Applications, 1999
AbstractLet fn(z)=z/(1−z)n+1, n∈No, and f(−1)n be defined such that fn∗f(−1)n=z1−z, where ∗ denotes convolution (Hadamard product). Let f be analytic in the unit disc E. We define a new operator Inf=f(−1)n∗f which is analogous to one defined by Ruscheweyh. Using this operator, the classes M*(n) are defined.
Muhammad Aslam Noor, Khalida Inayat Noor
openaire   +2 more sources

A Univalence Preserving Integral Operator

Journal 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