The Integral Type Modification of Jain Operators and its Approximation Properties

被引：6

作者：

Mishra, Vishnu Narayan ^{[1
]}

Patel, Prashantkumar ^{[2
]}

Mishra, Lakshmi Narayan ^{[3
]}

机构：

[1] Indira Gandhi Natl Tribal Univ, Dept Math, Lalpur Amarkantak Anuppu 484887, Madhya Pradesh, India

[2] St Xaviers Coll Autonomous, Dept Math, Ahmadabad, Gujarat, India

[3] Vellore Inst Technol VIT Univ, Sch Adv Sci, Dept Math, Vellore, Tamil Nadu, India

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 12期

关键词：

Jain operators; King-type operators; weighted approximation;

D O I：

10.1080/01630563.2018.1477796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we discuss the approximation properties of Durrmeyer-Stancu type variant of Jain operators with the modified forms of the Beta basis functions. We establish some direct results, which include the asymptotic formula, the error estimation in terms of the modulus of continuity and weighted approximation. Also, we construct a King modification of these operators which preserves the test functions e(0) and e(1).

引用

页码：1265 / 1277

页数：13

共 50 条

[21] Statistical approximation properties of King-type modification of Lupas operators
Dogru, Ogun
Kanat, Kadir
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (04) : 511 - 517
[22] SUMMATION-INTEGRAL TYPE OPERATORS BASED ON LUPAS-JAIN FUNCTIONS
Manav, Nesibe
Ispir, Nurhayat
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (02): : 309 - 322
[23] On the approximation properties of bi-parametric potential-type integral operators
Sekin, Cagla
Guloglu, Mutlu
Aliev, Ilham A.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (06): : 1681 - 1691
[24] Approximation by modified Jain-Baskakov operators
Mishra, Vishnu Narayan
Sharma, Preeti
Birou, Marius Mihai
GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (03) : 403 - 412
[25] Approximation by a modification of operators of exponential type associated with the Baskakov operators
Agrawal, Gunjan
Beniwal, Man Singh
FILOMAT, 2023, 37 (15) : 5005 - 5015
[26] Approximation properties of a certain modification of Durrmeyer operators
Asha Ram Gairola
Karunesh Kumar Singh
Hassan Khosravian-Arab
Laxmi Rathour
Vishnu Narayan Mishra
Soft Computing, 2024, 28 : 3793 - 3811
[27] Approximation properties of a certain modification of Durrmeyer operators
Gairola, Asha Ram
Singh, Karunesh Kumar
Khosravian-Arab, Hassan
Rathour, Laxmi
Mishra, Vishnu Narayan
SOFT COMPUTING, 2024, 28 (5) : 3793 - 3811
[28] APPROXIMATION RESULTS BY CERTAIN GENUINE OPERATORS OF INTEGRAL TYPE
Gupta, Vijay
Agrawal, Deepika
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (03): : 335 - 348
[29] STATISTICAL APPROXIMATION BY AN INTEGRAL TYPE OF POSITIVE LINEAR OPERATORS
Sobolu, Rodica
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2007, 52 (03): : 157 - 165
[30] Convolution-Type Integral Operators in Complex Approximation
Sorin G. Gal
Computational Methods and Function Theory, 2001, 1 (2) : 417 - 432

← 1 2 3 4 5 →