On the best polynomial approximation of entire transcendental functions in banach spaces. I

S. B. Vakarchuk

doi:10.1007/bf01059415

On the best polynomial approximation of entire transcendental functions in banach spaces. I

Ukrainian Mathematical Journal ◽

10.1007/bf01059415 ◽

1994 ◽

Vol 46 (9) ◽

pp. 1235-1247 ◽

Cited By ~ 2

Author(s):

S. B. Vakarchuk

Keyword(s):

Banach Spaces ◽

Polynomial Approximation ◽

Best Polynomial Approximation ◽

Transcendental Functions

On the best polynomial approximation of entire transcendental functions in Banach spaces. II

Ukrainian Mathematical Journal ◽

10.1007/bf01066088 ◽

1994 ◽

Vol 46 (10) ◽

pp. 1451-1456 ◽

Cited By ~ 1

Author(s):

S. B. Vakarchuk

Keyword(s):

Banach Spaces ◽

Polynomial Approximation ◽

Best Polynomial Approximation ◽

Transcendental Functions

On the best polynomial approximation of entire transcendental functions of generalized order

Ukrainian Mathematical Journal ◽

10.1007/s11253-009-0134-z ◽

2008 ◽

Vol 60 (8) ◽

pp. 1183-1199 ◽

Cited By ~ 3

Author(s):

S. B. Vakarchuk ◽

S. I. Zhir

Keyword(s):

Polynomial Approximation ◽

Best Polynomial Approximation ◽

Transcendental Functions ◽

Generalized Order

On the growth and best polynomial approximation of entire functions in $${\mathbb {C}}^{m}(m\ge 2)$$ C m ( m ≥ 2 ) in some Banach spaces

The Journal of Analysis ◽

10.1007/s41478-017-0033-x ◽

2017 ◽

Vol 25 (1) ◽

pp. 121-133 ◽

Cited By ~ 1

Author(s):

Devendra Kumar

Keyword(s):

Banach Spaces ◽

Polynomial Approximation ◽

Entire Functions ◽

Best Polynomial Approximation

On the best polynomial approximation in some Banach spaces for functions analytical in the unit disk

Mathematical Notes ◽

10.1007/bf02112471 ◽

1994 ◽

Vol 55 (4) ◽

pp. 338-343 ◽

Cited By ~ 5

Author(s):

S. B. Vakarchuk

Keyword(s):

Banach Spaces ◽

Unit Disk ◽

Polynomial Approximation ◽

Best Polynomial Approximation

How much faster does the best polynomial approximation converge than Legendre projection?

Numerische Mathematik ◽

10.1007/s00211-021-01173-z ◽

2021 ◽

Vol 147 (2) ◽

pp. 481-503

Author(s):

Haiyong Wang

Keyword(s):

Polynomial Approximation ◽

Best Polynomial Approximation

On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces

Ukrainian Mathematical Journal ◽

10.1007/s11253-015-1052-x ◽

2015 ◽

Vol 66 (12) ◽

pp. 1793-1811 ◽

Cited By ~ 2

Author(s):

S. B. Vakarchuk ◽

S. I. Zhir

Keyword(s):

Banach Spaces ◽

Complex Variables ◽

Polynomial Approximations ◽

Transcendental Functions

Some inequalities between the best polynomial approximation and averaged finite-difference norms in space L2

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika ◽

10.26907/0021-3446-2021-10-78-91 ◽

2021 ◽

pp. 78-91

Author(s):

Mirgand Shabozovich Shabozov ◽

◽

Munim Abdumamadovich Abdulkhaminov ◽

Keyword(s):

Finite Difference ◽

Polynomial Approximation ◽

Best Polynomial Approximation

Best polynomial approximation in Besov spaces

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00136-2 ◽

1997 ◽

Vol 85 (2) ◽

pp. 315-323

Author(s):

Francisco Pérez Acosta

Keyword(s):

Polynomial Approximation ◽

Besov Spaces ◽

Best Polynomial Approximation

Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces

Constructive Approximation ◽

10.1007/s00365-001-0022-8 ◽

2002 ◽

Vol 18 (4) ◽

pp. 551-568 ◽

Cited By ~ 1

Author(s):

D. H. Kim ◽

S. H. Kim ◽

K. H. Kwon ◽

Xin Li

Keyword(s):

Polynomial Approximation ◽

Best Polynomial Approximation

Generalized Order and Best Approximation of Entire Function in -Norm

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/2010/360180 ◽

2010 ◽

Vol 2010 ◽

pp. 1-15 ◽

Cited By ~ 5

Author(s):

Mohammed Harfaoui

Keyword(s):

Entire Function ◽

Polynomial Approximation ◽

Best Approximation ◽

Extremal Function ◽

Entire Functions ◽

Complex Variables ◽

Several Complex Variables ◽

Best Polynomial Approximation ◽

Growth Of Entire Functions

The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact with respect to the set , where is the Siciak extremal function of a -regular compact .