Statistical Relative Approximation on Modular Spaces

被引:0
作者
Kamil Demirci
Sevda Orhan
机构
[1] Sinop University,Department of Mathematics
来源
Results in Mathematics | 2017年 / 71卷
关键词
Positive linear operators; modular space; statistical relative modular convergence; double sequences; Korovkin theorem; 40B05; 41A36; 46E30;
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中图分类号
学科分类号
摘要
In the present paper, using the concept of statistical relative convergence, we study the problem of approximation to a function by means of double sequences of positive linear operators defined on a modular space. Also, a non-trivial application is presented.
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页码:1167 / 1184
页数:17
相关论文
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  • [1] Bardaro C.(2006)Approximation properties in abstract modular spaces for a class of general sampling-type operators Appl. Anal. 85 383-413
  • [2] Mantellini I.(2007)Korovkin’s theorem in modular spaces Commentationes Math. 47 239-253
  • [3] Bardaro C.(2009)A Korovkin theorem in multivariate modular function spaces J. Funct. Spaces Appl. 7 105-120
  • [4] Mantellini I.(2006)Statistically boundedness and statistical core of double sequences J. Math. Anal. Appl. 317 690-697
  • [5] Bardaro C.(1914)Relatively uniform convergence of sequences of functions Trans. AMS 15 197-201
  • [6] Mantellini I.(1919)On the limit functions of sequences of continuous functions converging relatively uniformly Trans. AMS 20 179-184
  • [7] Çakan C.(1922)Relatively uniform convergence and classification of functions Trans. AMS 23 1-15
  • [8] Altay B.(2003)-statistical convergence of approximating operators Math. Inequal. Appl. 6 689-699
  • [9] Chittenden E.W.(2002)Some approximation theorems via statistical convergence Rocky Mountain J. Math. 32 129-138
  • [10] Chittenden E.W.(2010)Matrix summability and Korovkin type approximation theorem on modular spaces Acta Math. Univ. Comenianae 79 281-292