POSITIVE LINEAR OPERATORS AND EXPONENTIAL FUNCTIONS

被引：2

作者：

Acu, Ana-Maria ^{[1
]}

Rasa, Ioan ^{[2
]}

Seserman, Andra ^{[2
]}

机构：

[1] Lucian Blaga Univ Sibiu, Dept Math & Informat, Sibiu, Romania

[2] Tech Univ Cluj Napoca, Fac Automat & Comp Sci, Cluj Napoca, Romania

来源：

MATHEMATICAL FOUNDATIONS OF COMPUTING | 2023年 / 6卷 / 03期

关键词：

Positive linear operators; exponential functions; MIRAKYAN-TYPE OPERATORS; APPROXIMATION;

D O I：

10.3934/mfc.2022050

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Using the family of generalized Baskakov operators we propose a general method to construct positive linear operators preserving exponential functions. A conjecture concerning Voronovskaja type formula and some applications are presented.

引用

页码：313 / 319

页数：7

共 50 条

[31] Approximation of classes of periodic multivariable functions by linear positive operators
Bushev D.M.
Kharkevych Yu.I.
Ukrainian Mathematical Journal, 2006, 58 (1) : 12 - 21
[32] AN INSTANCE OF A SEQUENCE OF LINEAR POSITIVE OPERATORS IN THE SPACE OF CONTINUOUS FUNCTIONS
BASKAKOV, VA
DOKLADY AKADEMII NAUK SSSR, 1957, 113 (02): : 249 - 251
[33] ON APPROXIMATION OF CONTINUOUSLY DIFFERENTIABLE FUNCTIONS BY POSITIVE LINEAR-OPERATORS
GONSKA, HH
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1983, 27 (01) : 73 - 81
[34] ON APPROXIMATION OF FUNCTIONS TOGETHER WITH THEIR DERIVATIVES BY CERTAIN LINEAR POSITIVE OPERATORS
MARTINI, R
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1969, 72 (05): : 473 - &
[35] A note on the remainder in the approximation of functions by some positive linear operators
Birou, Marius-Mihai
POSITIVITY, 2023, 27 (05)
[36] THE ASYMPTOTIC VALUE OF THE APPROXIMATION OF DIFFERENTIABLE FUNCTIONS BY LINEAR POSITIVE OPERATORS
MAMEDOV, RG
DOKLADY AKADEMII NAUK SSSR, 1959, 128 (03): : 471 - 474
[37] RATES FOR APPROXIMATION OF UNBOUNDED FUNCTIONS BY POSITIVE LINEAR-OPERATORS
SHAW, SY
YEH, CC
JOURNAL OF APPROXIMATION THEORY, 1989, 57 (03) : 278 - 292
[38] Weighted approximation of continuous functions by sequences of linear positive operators
Tülin Coşkun
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2000, 110 : 357 - 362
[39] APPROXIMATION OF FUNCTIONS OF TWO VARIABLES BY SOME LINEAR POSITIVE OPERATORS
Walczak, Z.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2005, 74 (01): : 37 - 48
[40] The rate of approximation of functions in an infinite interval by positive linear operators
Patel, Prashantkumar
Rathour, Laxmi
GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (04) : 575 - 581

← 1 2 3 4 5 →