scholarly journals Optimal Recovery of Analytic Functions' Secondary Derivatives by Their Values at a Finite Number of Points

2017 ◽  
Vol 20 (4) ◽  
pp. 76-82
Author(s):  
Mikhail Ovchintsev ◽  
Keyword(s):  
Finite Number ◽  
Analytic Functions ◽  
Optimal Recovery

scholarly journals Non-Self-Adjoint Singular Sturm-Liouville Problems with Boundary Conditions Dependent on the Eigenparameter

2010 ◽  
Vol 2010 ◽  
pp. 1-10
Author(s):  
Elgiz Bairamov ◽  
M. Seyyit Seyyidoglu
Keyword(s):  
Boundary Conditions ◽  
Finite Number ◽  
Analytic Functions ◽  
Liouville Problem ◽  
Uniqueness Theorems ◽  
Spectral Singularities ◽  
Sturm Liouville ◽  
Complex Valued

Let denote the operator generated in by the Sturm-Liouville problem: , , , where is a complex valued function and , with In this paper, using the uniqueness theorems of analytic functions, we investigate the eigenvalues and the spectral singularities of . In particular, we obtain the conditions on under which the operator has a finite number of the eigenvalues and the spectral singularities.

scholarly journals On uniform polynomial approximation of functions that are analytic in finite number of non-intersecting continuums

2021 ◽  
Vol 16 ◽  
pp. 41
Author(s):  
S.B. Vakarchuk ◽  
M.B. Vakarchuk ◽  
V.I. Zabutna
Keyword(s):  
Finite Number ◽  
Polynomial Approximation ◽  
Analytic Functions ◽  
Function Theory ◽  
Approximation Of Functions ◽  
Constructive Function ◽  
Asymptotic Values ◽  
Uniform Polynomial Approximation ◽  
Polynomial Approximation Of Functions

We show that some of results, obtained by S.N. Bernstein, on constructive function theory, under certain conditions, take place for uniform polynomial approximation of functions that are analytic in finite number of non-intersecting continuums. On the base of obtained results for certain class of analytic functions we calculate asymptotic values of some $n$-widths.

scholarly journals The convolution of finite number of analytic functions

2019 ◽  
Vol 105 (119) ◽  
pp. 49-63
Author(s):  
Poonam Sharma ◽  
Ravinder Krishna ◽  
Janusz Sokół
Keyword(s):  
Finite Number ◽  
Zeta Function ◽  
Analytic Functions ◽  
Multiplier Operator

We investigate various results associated with the convolution of finite number of analytic functions involving a certain multiplier operator (defined below). Some useful consequences including a result related to the zeta function are also mentioned.

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