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Composition and Decomposition of Positive Linear Operators (VIII)

Axioms, 2023
In a series of papers, most of them authored or co-authored by H. Gonska, several authors investigated problems concerning the composition and decomposition of positive linear operators defined on spaces of functions.
Ana Maria Acu, Ioan Raşa, Andra Seserman   +2 more
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Composition of some positive linear integral operators

Demonstratio Mathematica
This article is devoted to constructing sequences of integral operators with the same Voronovskaja formula as the generalized Baskakov operators, but having different behavior in other respects.
Acu Ana-Maria, Rasa Ioan, Sofonea Florin
doaj   +3 more sources

Disjoint hypercyclic linear fractional composition operators

Journal of Mathematical Analysis and Applications, 2011
The first and the third authors are supported in part by MICINN and FEDER, Projects MTM2007-64222 and MTM2010-14909. The third author is also supported by Generalitat Valenciana, Project PROMETEO/2008/101. We thank the referees for their comments and suggestions.
Alfred Peris, Juan Bes
exaly   +4 more sources

Kernels for composition of positive linear operators

Journal of Mathematical Analysis and Applications
This paper investigates the composition of Bernstein--Durrmeyer operators and Szász--Mirakjan--Durrmeyer operators, focusing on the structure and properties of the associated kernel functions. In the case of the Bernstein--Durrmeyer operators, we establish new identities for the kernel arising from the composition of two and three operators, from which
Ioan Rasa, Ulrich Abel
exaly   +3 more sources

Extremal non-compactness of composition operators with linear fractional symbol

Journal of Mathematical Analysis and Applications, 2006
We realize norms of most composition operators acting on the Hardy space with linear fractional symbol as roots of hypergeometric functions. This realization leads to simple necessary and sufficient conditions on the symbol to exhibit extremal non-compactness, establishes equivalence of cohyponormality and cosubnormality of composition operators with ...
Estelle Basor
exaly   +4 more sources

Which linear-fractional composition operators are essentially normal?

Journal of Mathematical Analysis and Applications, 2003
Let \(\varphi\) be a holomorphic map of the unit circle \(\mathbb{U}\) into itself and \(C_\varphi\) the composition operator on the Hardy space \(H^2=H^2(\mathbb{U})\) defined by \(C_\varphi f(z)=f[\varphi(z)]\). This interesting paper deals with the property of the operator \(C_\varphi\) to be nontrivially essentially normal.
Sivaram Narayan, Joel H Shapiro
exaly   +2 more sources

Adjoints of Generalized Composition Operators with Linear Fractional Symbol

Extracta Mathematicae, 2016
Given a positive integer n and φ : U → U, an analytic self-map of the open unit disc in the complex plane, the generalized composition operator Cφ(n) is defined by Cφ(n)f = f (n) ◦ φ for f belonging to some Hilbert space of analytic functions on U.
Aliakbar Salaryan, Hamid Vaezi
doaj   +1 more source

Integro-differential equations with bounded operators in Banach spaces [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
doaj   +3 more sources

Composition Vector Spaces as a New Type of Tri-Operational Algebras

Mathematics, 2021
The aim of this paper is to define and study the composition vector spaces as a type of tri-operational algebras. In this regard, by presenting nontrivial examples, it is emphasized that they are a proper generalization of vector spaces and their ...
Omid Reza Dehghan, Morteza Norouzi, Irina Cristea   +2 more
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Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions

Axioms, 2021
This paper deals with the solution of boundary value problems for ordinary differential equations with general boundary conditions. We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well ...
Efthimios Providas, Stefanos Zaoutsos, Ioannis Faraslis   +2 more
doaj   +1 more source