Voronovskaja's theorem for functions with exponential growth

被引：12

作者：

Tachev, Gancho ^{[1
]}

Gupta, Vijay ^{[2
]}

Aral, Ali ^{[3
]}

机构：

[1] Univ Architecture Civil Engn & Geodesy, Dept Math, Sofia 1046, Bulgaria

[2] Netaji Subhas Inst Technol, Dept Math, Sect 3 Dwarka, New Delhi 110078, India

[3] Kirikkale Univ, Dept Math, TR-71450 Kirikkale, Turkey

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 03期

关键词：

Linear combinations; linear positive operators; Voronovskaja's theorem; Szasz operators; Baskakov operators; Phillips operators;

D O I：

10.1515/gmj-2018-0041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we establish a general form of Voronovskaja's theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. Applications are given for some Szasz-Mirakyan and Baskakov-type operators.

引用

页码：459 / 468

页数：10

共 50 条

[41] EXTENSION OF A THEOREM OF LAGUERRE TO ENTIRE-FUNCTIONS OF EXPONENTIAL TYPE
RAHMAN, QI
SCHMEISSER, G
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 122 (02) : 463 - 468
[42] A COMPLETENESS THEOREM FOR TRIGONOMETRIC IDENTITIES AND VARIOUS RESULTS ON EXPONENTIAL FUNCTIONS
VANDENDRIES, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (02) : 345 - 352
[43] AN EXTENSION OF CARLSON THEOREM FOR ENTIRE-FUNCTIONS OF EXPONENTIAL TYPE
BRUCK, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 147 (02) : 372 - 374
[44] A THEOREM ON ENTIRE HARMONIC-FUNCTIONS OF ZERO EXPONENTIAL TYPE
ARMITAGE, DH
PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES, 1979, 79 (09) : 81 - 85
[45] VORONOVSKAJA'S THEOREM, SHAPE PRESERVING PROPERTIES AND ITERATIONS FOR COMPLEX q-BERNSTEIN POLYNOMIALS
Gal, Sorin G.
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2011, 48 (01) : 23 - 43
[46] A note on the Voronovskaja theorem for Mellin-Fejer convolution operators
Bardaro, Carlo
Mantellini, Ilaria
APPLIED MATHEMATICS LETTERS, 2011, 24 (12) : 2064 - 2067
[47] THE VORONOVSKAJA TYPE THEOREM FOR AN EXTENSION OF SZASZ-MIRAKJAN OPERATORS
Pop, Ovidiu
Barbosu, Dan
Miclaus, Dan
DEMONSTRATIO MATHEMATICA, 2012, 45 (01) : 107 - 115
[48] Failure of the Roth theorem for solvable groups of exponential growth
Bergelson, V
Leibman, A
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2004, 24 : 45 - 53
[49] THE VORONOVSKAJA TYPE THEOREM FOR THE SZASZ-MIRAKJAN-KANTOROVICH OPERATORS
Miclaus, Dan
JOURNAL OF SCIENCE AND ARTS, 2010, (02): : 257 - 260
[50] A note on growth theorem of Bazilevic functions
Kim, Yong Chan
APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) : 542 - 546

← 1 2 3 4 5 →