Approximation in Weighted Space with Generalized Max-Product Type Favard-Szász-Mirakyan-Durrmeyer Operators

In this paper, we explore the uniform approximation of functions using Generalized Favard- Szász-Mirakyan -Durrmeyer operators of the max-product type with specific exponential weighted spaces. We analyze the approximation rate with an appropriate continuity modulus.

Durrmeyer Operators, Exponential Weighted Spaces, Maximum product operators, Approximation rate.

1. Alsattuf, N. 2024. “Kesilmemiş maksimum çarpım tipindeki operatörlerin yaklaşım özellikleri”, Yüksek Lisans Tezi, Fen Bilimleri Enstitüsü, Harran Üniversitesi, Şanlıurfa. [Google Scholar] [Crossref]

2. Baruğ, F., Kırcı Serenbay, S. 2021. “Approximation of modified Favard Szasz-Mirakyan operators of maximum-product type”, Bull. Pure Appl. Sci. Sect. E Math. Stat 40.1: 60-69. [Google Scholar] [Crossref]

3. Bede, B., Coroianu, L. and Gal, S.G., 2010. Approximation and shape preserving properties of the nonlinear Favard-Szàsz-Mirakjan operators of max-product kind.Filomat 24(3), 55—72 [Google Scholar] [Crossref]

4. Bede, B. and Gal, S.G., 2010. Approximation by nonlinear Bernstein and Favard-Szász-Mirakjan operators of max-product kind. J. Concr. Appl. Math. 8(2), 193--207. [Google Scholar] [Crossref]

5. Bede, B., Coroianu, L. and Gal, S. G. Approximation by truncated Favard-Szasz-Mirakjan operator of max-product kind, Demonstratio Mathematica, 44 (2011), no. 1, 105--122. [Google Scholar] [Crossref]

6. Favard, J., 1944. Sur les multiplicateurs d'interpolation. J. Math. Pures Appl.23(9), 219--247. [Google Scholar] [Crossref]

7. Holhoş, A. Uniform weighted approximation by positive linear operators, Stud. Univ. Babe s-Bolyai Math., 56 (3) (2011), 135--146. [Google Scholar] [Crossref]

8. Holhoş, A. (2018). Weighted approximation of functions by Favard operators of max-product type. Periodica Mathematica Hungarica, 77(2), 340-346. [Google Scholar] [Crossref]

9. Kırcı Serenbay, S., Dalmanoğlu, Ö., Acar, E. 2022. “Approximation Properties of The Nonlinear Jain Operators”, Mathematical Sciences and Applications E-Notes, 10 (4), 179-189 [Google Scholar] [Crossref]

10. Majeed, S. Y., Serenbay Kırcı, S. 2024. “On approximation by truncated max-product Baskakov operators of fuzzy numbers”. Filomat, 38(9), 3179-3191. [Google Scholar] [Crossref]

11. Majeed, S.Y., Serenbay Kırcı, S. 2023. “Analyzing Convergence of Fuzzy Numbers Using Generalized Max-Product Bernstein-Chlodowsky Operators on Compact Intervals”. Rare Metal Materials and Engineering, 52(9), 38-52. [Google Scholar] [Crossref]

12. Mazhar, S. M., Totik, V., 1985 Approximation by modified Szász operators, Acta. Sei. Math., 257-269 [Google Scholar] [Crossref]

13. Mirakyan, G.M., 1941. Approximation des fonctions continues au moyen de polynômes de la form e^u=∑(u^k/k!) Dokl. Akad. Nauk SSSR 31, 201--205. [Google Scholar] [Crossref]

14. Szasz, O.,1950.Generalization of S. Bernstein's polynomials to the infinite interval. Journal of Research of the National Bureau of Standards, 45,239-245. [Google Scholar] [Crossref]

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