A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials

Çekіm, Bayram; Aktaş, Rabıa; Taşdelen, Fatma

doi:10.1007/s13226-021-00167-9

Cited by 4 publications

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“…Korovkin‐type theorems have many applications, and it is studied by many authors; see, for example, [5–16].…”

Section: Direct Resultsmentioning

confidence: 99%

“…This is denoted by P z n − lim ||D * n 𝑓 − 𝑓 || = 0. Korovkin-type theorems have many applications, and it is studied by many authors; see, for example, [5][6][7][8][9][10][11][12][13][14][15][16]. Now, we will prove the Korovkin-type theorem for the Dunkl-Gamma-type operators including Appell polynomials by means of the generalized power summability method.…”

Section: Direct Resultsmentioning

confidence: 99%

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Some summability methods for Dunkl–Gamma‐type operators including Appell polynomials

Braha

2024

Math Methods in App Sciences

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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 ‐statistically convergence, including Voronovskaya and Grüss–Voronovskaya‐type theorem.

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“…Korovkin‐type theorems have many applications, and it is studied by many authors; see, for example, [5–16].…”

Section: Direct Resultsmentioning

confidence: 99%

Section: Direct Resultsmentioning

confidence: 99%

Some summability methods for Dunkl–Gamma‐type operators including Appell polynomials

Braha

2024

Math Methods in App Sciences

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“…One can find more generalizations of Szasz operators using similar methods in the literature [4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

A Generalization of Szasz Operators by Using the Appell Polynomials of Class A(2)

Varma

Sucu

2022

Symmetry

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In this paper, as a generalization of Szasz operators, a brand-new sequence of operators including the Appell polynomials of class A2 is introduced. First, the convergence of this new sequence of operators is obtained, and then, some approximation results are presented by using the tools of approximation theory. In addition, an explicit example for this kind of sequence of operators containing Gould–Hopper polynomials is introduced. The error of the approximation of this new sequence of operators to a function is established.

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“…It is possible to find such generalizations for Szász operators in different studies [2,5,3,12,11,20,23,24,27] .…”

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confidence: 99%

A generalization of szász operators with the help of new kind Appell polynomials

İÇÖZ,

Tat

2025

MFC

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A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials

Cited by 4 publications

References 20 publications

Some summability methods for Dunkl–Gamma‐type operators including Appell polynomials

Some summability methods for Dunkl–Gamma‐type operators including Appell polynomials

A Generalization of Szasz Operators by Using the Appell Polynomials of Class A(2)

A generalization of szász operators with the help of new kind Appell polynomials

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