Results 21 to 30 of about 3,391,666 (248)
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor +3 more
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Enhanced Singular Spectrum Decomposition and Its Application to Rolling Bearing Fault Diagnosis
Singular spectrum analysis (SSA) has proven to be a powerful technique for processing non-stationary signals and has been widely used in the fault diagnosis of rolling bearings. Based on the SSA, an adaptive signal decomposition algorithm called singular
Bin Pang, Guiji Tang, Tian Tian
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Countable Additivity of Spreading the Differentiation Operator
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
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
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
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Order of growth of distributionally irregular entire functions for the differentiation operator [PDF]
We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given and , where , we prove that there exists a distributionally irregular entire function f for the operator D ...
L. Bernal-González, A. Bonilla
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Completion of the Kernel of the Differentiation Operator
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
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Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1
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
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THE DIRICHLET PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER WITH THE OPERATOR OF DISTRIBUTED DIFFERENTIATION [PDF]
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
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Composition Operators on Classical Spaces of Analytic Functions [PDF]
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
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We investigate the conditions of the $n$-similarity of the $n^{\rm th}$ degree of the differentiation operator to an operator which is left inverse to the $n^{\rm th}$ degree of the integration operator in the spaces of analytic functions.
T. I. Zvozdetskyi
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