Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 4

Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence

Sayfa
1238–1249
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give some examples, in which we show that our results are strictgeneralizations of the classical ones.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of anet of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point,belonging to the domain of the involved functions.
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Temel Bulgular & Veri:We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of anet of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point,belonging to the domain of the involved functions.
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Sonuç & Katkı:We give some examples, in which we show that our results are strictgeneralizations of the classical ones.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of anet of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point,belonging to the domain of the involved functions. We give some examples, in which we show that our results are strictgeneralizations of the classical ones.

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Bu Makaleye Atıf Yap

YILDIZ, S., BOCCUTO, A., DEMİRCİ, K. (2022). Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 4, 1238–1249. https://ajindex.com/articles/607895

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Kaynakça (16)

  1. Agrawal MR, Tewari UB. On existence of finite universal Korovkin in the centre of group algebras. Monatshefte für Mathematik 1997; 123: 1-20
  2. Altomare F. Korovkin-type theorems and approximation by positive linear operators. Surveys in Approximation Theory 2010; 5: 92-164
  3. Altomare F, Campiti M. Korovkin-type approximation theory and its applications. Berlin: De Gruyter Studies in Mathematics, 1994
  4. Altomare F, Diomede S. Contractive Korovkin subsets in weighted spaces of continuous functions. Rendiconti del Circolo Matematico di Palermo 2001; 50 (3): 547-568
  5. Anastassiou GA, Duman O. Towards Intelligent Modeling: Statistical Approximation Theory. Vol
  6. Berlin: Springer, 2011
  7. Angeloni L, Vinti G. Rate of approximation for nonlinear integral operators with application to signal processing. Different Integral Equations 2005; 18: 855-890
  8. Angeloni L, Vinti G. Convergence and rate of approximation for linear integral operators in BVφ -spaces in multidimensional setting. Journal of Mathematical Analysis and Applications 2009; 349 (2): 317-334
  9. Bardaro C, Boccuto A, Demirci K, Mantellini I, Orhan S. Triangular A-Statistical Approximation by Double Sequences of Positive Linear Operators, Results in Mathematics 2015; 68: 271-291
  10. Bardaro C, Boccuto A, Demirci K, Mantellini I, Orhan S. Korovkin-type theorems for modular Ψ-A-statistical convergence. Journal of Function Spaces 2015; 2015: 11 pages, Article ID 160401
  11. Bardaro C, Boccuto A, Dimitriou X, Mantellini I. Abstract Korovkin-type theorems in modular spaces and applications. Central European Journal of Mathematics 2013; 11 (10): 1774-1784
  12. Bardaro C, Karsli H, Vinti G. On pointwise convergence of linear integral operators with homogeneous kernels. Integral Transforms and Special Functions 2008; 19 (6): 429-439
  13. Bardaro C and Mantellini I. A Korovkin theorem in multivariate modular function spaces. Journal of Function Spaces and Applications 2009; 7 (2): 105-120
  14. Bardaro C, Musielak J, Vinti G. Nonlinear Integral Operators and Applications. Berlin: De Gruyter Studies in Mathematics, 2003
  15. Boccuto A, Candeloro D, Sambucini AR. Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes. Journal of Mathematical Analysis and Applications 2014; 419 (2): 818-838
  16. Boccuto A, Candeloro D, Sambucini AR. L p spaces in vector lattices and applications. Mathematica Slovaca 2017; 67 (6):