Some summability methods for Dunkl-Gamma-type operators including Appell polynomials

被引:2
作者
Braha, Naim L. [1 ,2 ,3 ]
机构
[1] Univ Prishtina, Dept Math & Comp Sci, Prishtina, Kosovo
[2] ILIRIAS Res Inst, Ferizaj, Kosovo
[3] Univ Prishtina, Dept Math & Comp Sci, Ave Mother Teresa,5, Pristina 10000, Kosovo
关键词
Appell polynomials; Dunkl-Gamma-type operators; generalized power series summability method; Korovkin-type theorem; rate of convergence; Voronovskaya-type theorem; A-statistical convergence; SZASZ-MIRAKYAN OPERATORS; STATISTICAL CONVERGENCE; THEOREMS; SPACES;
D O I
10.1002/mma.10051
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we give some properties of the Dunkl-Gamma-type operators including Appell polynomials, using into consideration the generalized power summability method. In the first section are given moments of the new defined operators. In second section are given some direct estimation related to the Dunkl-Gamma-type operators, including Korovkin-type theorem. In the third section, we give some results related to the weighted spaces of continuous functions, and in the last section, we give some properties in the sense of A-statistically convergence, including Voronovskaya and Gruss-Voronovskaya-type theorem.
引用
收藏
页码:8904 / 8921
页数:18
相关论文
共 22 条
[1]   Dunkl-Appell d-orthogonal polynomials [J].
Ben Cheikh, Y. ;
Gaied, M. .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (08) :581-597
[2]  
Bhardwaj VK, 2018, J MATH ANAL, V9, P99
[3]  
Braha N. L., SOME PROPERTIES BREN
[4]   KOROVKIN TYPE THEOREMS AND ITS APPLICATIONS VIA αβ- STATISTICALLY CONVERGENCE [J].
Braha, Naim L. ;
Loku, Valdete .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (04) :951-966
[5]   Korovkin type theorem for Bernstein-Kantorovich operators via power summability method [J].
Braha, Naim L. .
ANALYSIS AND MATHEMATICAL PHYSICS, 2020, 10 (04)
[6]   SOME PROPERTIES OF BASKAKOV-SCHURER-SZASZ OPERATORS VIA POWER SUMMABILITY METHODS [J].
Braha, Naim L. .
QUAESTIONES MATHEMATICAE, 2019, 42 (10) :1411-1426
[7]   Some properties of modified Szasz-Mirakyan operators in polynomial spaces via the power summability method [J].
Braha, Naim L. .
JOURNAL OF APPLIED ANALYSIS, 2020, 26 (01) :79-90
[8]   Approximation properties of the generalized Szasz operators by multiple Appell polynomials via power summability method [J].
Braha, Naim L. ;
Kadak, Ugur .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (05) :2337-2356
[9]  
Braha NL, 2018, BULL MATH ANAL APPL, V10, P53
[10]   Some Weighted Equi-Statistical Convergence and Korovkin Type-Theorem [J].
Braha, Naim L. .
RESULTS IN MATHEMATICS, 2016, 70 (3-4) :433-446