Results 21 to 30 of about 1,306,756 (298)

Countable Additivity of Spreading the Differentiation Operator

open access: yesМоделирование и анализ информационных систем, 2014
In this article, we continue the study of the properties acquired by the differentiation operator Λ with spreading beyond the space W1¹. The study is conducted by introducing the family of spaces Yp¹ , 0 < p < 1, having analogy with the family Wp¹,
A. N. Morozov
doaj   +1 more source

INVARIANT SUBSPACES IN UNBOUNDED DOMAINS

open access: yesПроблемы анализа, 2021
We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
doaj   +1 more source

Completion of the Kernel of the Differentiation Operator

open access: yesМоделирование и анализ информационных систем, 2017
When investigating piecewise polynomial approximations in spaces \(L_p, \; 0~<~p~<~1,\) the author considered the spreading of k-th derivative (of the operator) from Sobolev spaces \(W_1 ^ k\) on spaces that are, in a sense, their successors with a
Anatoly N. Morozov
doaj   +1 more source

Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1

open access: yesJournal of Function Spaces, 2023
We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
doaj   +1 more source

Differential operators on the free algebras [PDF]

open access: yesSelecta Mathematica, 2011
25 ...
Iyer, Uma N., McCune, Timothy C.
openaire   +3 more sources

THE DIRICHLET PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER WITH THE OPERATOR OF DISTRIBUTED DIFFERENTIATION [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
In this paper, we study a linear ordinary differential equation of the second order with operator of continuously distributed differentiation, and for him we study the two-point boundary value problem by the Green’s function method. A special function is
B. I. Efendiev
doaj   +1 more source

On Inequalities for Differential Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1958
In this paper we study the following problem: Given that certain functionals of u u and its derivatives belong to given L ...
openaire   +1 more source

Composition Operators on Classical Spaces of Analytic Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis
We shall provide a brief account on new achievements in the study of composition and composition-differentiation operators acting on classical spaces of analytic functions on the unit disk, as well as on the polydisk and the unit ball.
Ali Abkar
doaj   +1 more source

GMRES for the Differentiation Operator [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2009
We investigate using the gmres method with the differentiation operator. This operator is unbounded and thus does not fall into the framework of existing Krylov subspace theory. We establish conditions under which a function can be approximated by its own derivatives in a domain of the complex plane.
openaire   +2 more sources

Source Transformation for MATLAB Automatic Differentiation. [PDF]

open access: yes, 2005
We present MSAD, a source transformation implementation of forward mode automatic differentiation for MATLAB. MSAD specialises and inlines operations from the fmad and derivvec classes of the MAD package.
Forth, Shaun A.   +3 more
core   +1 more source

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