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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 4
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Original Articles

Approximation properties in abstract modular spaces for a class of general sampling-type operators

Carlo Bardaro Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, ItalyCorrespondence[email protected]
&
Ilaria Mantellini Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy
Pages 383-413 | Received 28 May 2004, Accepted 26 Oct 2004, Published online: 25 Jan 2007

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Prashantkumar Patel, Vishnu Narayan Mishra & Mediha Örkcü. (2015) Approximation properties of modified Szász–Mirakyan operators in polynomial weighted space. Cogent Mathematics 2:1.
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C. Bardaro, A. Boccuto, X. Dimitriou & I. Mantellini. (2013) Modular filter convergence theorems for abstract sampling type operators. Applicable Analysis 92:11, pages 2404-2423.
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Articles from other publishers (26)

Selin Çınar & Sevda Yildiz. (2023) Triangular ideal relative convergence on modular spaces and Korovkin theorems. Studia Universitatis Babes-Bolyai Matematica 68:4, pages 907-924.
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Sevda Yıldız, Kamil Demirci & Fadime Dirik. (2022) Korovkin theory via $$P_{p}-$$statistical relative modular convergence for double sequences. Rendiconti del Circolo Matematico di Palermo Series 2 72:2, pages 1125-1141.
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Kamil DEMİRCİ & Sevda YILDIZ. (2022) Approximation on Modular Spaces via P-Statistical Relative A-Summation ProcessModüler Uzaylar Üzerinde P-İstatistiksel A-Toplam Süreci Aracılığıyla Yaklaşım. Sinop Üniversitesi Fen Bilimleri Dergisi 7:2, pages 152-172.
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Gianluca Vinti & Luca Zampogni. (2022) A general method to study the convergence of nonlinear operators in Orlicz spaces. Advanced Nonlinear Studies 22:1, pages 594-618.
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Alberto FIORENZA. (2021) Modulars from Nakano onwards. Constructive Mathematical Analysis 4:2, pages 145-178.
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Harun Karsli. (2018) Voronovskaya‐type theorems for Urysohn type nonlinear Bernstein operators. Mathematical Methods in the Applied Sciences 42:16, pages 5190-5198.
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Carlo Bardaro, Ilaria Mantellini & Gerhard Schmeisser. (2019) Exponential Sampling Series: Convergence in Mellin–Lebesgue Spaces. Results in Mathematics 74:3.
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Uğur Kadak. (2018) Relative weighted almost convergence based on fractional-order difference operator in multivariate modular function spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:3, pages 2201-2220.
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Kamil Demirci, Sevda Orhan & Burçak Kolay. (2017) Statistical relative $$\mathcal {A}$$ A -summation process for double sequences on modular spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 112:4, pages 1249-1264.
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Harun KARSLI. (2018) Approximation Results for Urysohn Type Two Dimensional Nonlinear Bernstein Operators. Constructive Mathematical Analysis 1:1, pages 45-57.
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Burçak Kolay, Sevda Orhan & Kamil Demirci. (2016) Statistical Relative $$\mathcal {A}$$ A -Summation Process and Korovkin-Type Approximation Theorem on Modular Spaces. Iranian Journal of Science and Technology, Transactions A: Science 42:2, pages 683-692.
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Harun Karsli. 2018. Advances in Summability and Approximation Theory. Advances in Summability and Approximation Theory 223 241 .
E. Tas & T. Yurdakadim. (2017) Approximation by positive linear operators in modular spaces by power series method. Positivity 21:4, pages 1293-1306.
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Kamil Demirci & Burçak Kolay. (2016) A-statistical relative modular convergence of positive linear operators. Positivity 21:3, pages 847-863.
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Kamil Demirci & Sevda Orhan. (2016) Statistical Relative Approximation on Modular Spaces. Results in Mathematics 71:3-4, pages 1167-1184.
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Burçak Yılmaz, Kamil Demirci & Sevda Orhan. (2015) Relative modular convergence of positive linear operators. Positivity 20:3, pages 565-577.
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Antonio Boccuto & Xenofon Dimitriou. (2016) Korovkin-type Theorems for Abstract Modular Convergence. Results in Mathematics 69:3-4, pages 477-495.
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Sevda Orhan & Kamil Demirci. (2014) Statistical approximation by double sequences of positive linear operators on modular spaces. Positivity 19:1, pages 23-36.
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Carlo Bardaro, Antonio Boccuto, Kamil Demirci, Ilaria Mantellini & Sevda Orhan. (2015) Korovkin-Type Theorems for Modular - -Statistical Convergence . Journal of Function Spaces 2015, pages 1-11.
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Sevda Orhan & Kamil Demirci. (2013) Statistical $$\fancyscript{A}$$ A -summation process and Korovkin type approximation theorem on modular spaces. Positivity 18:4, pages 669-686.
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Antonio Boccuto, Domenico Candeloro & Anna Rita Sambucini. (2014) Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes. Journal of Mathematical Analysis and Applications 419:2, pages 818-838.
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Antonio Boccuto & Xenofon Dimitriou. (2014) Rates of approximation for general sampling-type operators in the setting of filter convergence. Applied Mathematics and Computation 229, pages 214-226.
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Carlo Bardaro & Ilaria Mantellini. (2013) On Linear Combinations of Multivariate Generalized Sampling Type Series. Mediterranean Journal of Mathematics 10:4, pages 1833-1852.
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Antonio Boccuto & Xenofon Dimitriou. (2013) Modular filter convergence theorems for Urysohn integral operators and applications. Acta Mathematica Sinica, English Series 29:6, pages 1055-1066.
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Sevda Karakuş, Kamil Demirci & Oktay Duman. (2009) Statistical approximation by positive linear operators on modular spaces. Positivity 14:2, pages 321-334.
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Carlo Bardaro & Ilaria Mantellini. (2009) A Voronovskaya-Type Theorem for a General Class of Discrete Operators. Rocky Mountain Journal of Mathematics 39:5.
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