Regular summability methods in the approximation by max-min operators

被引：9
作者：
Gokcer, Turkan Yeliz [1 ]
Duman, Oktay [1 ]
机构：
[1] TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 426卷
关键词：
Max-min operations; Max-min Shepard operators; Pseudo-linearity; Quasiconcave function; Regular summability methods; Cesaro summability; Almost convergence; SUMMATION PROCESS; PRODUCT; CONVERGENCE; OPERATIONS; SEQUENCE; MATRIX; RATES;
D O I：
10.1016/j.fss.2021.03.003
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, by using nonnegative regular summability methods we improve and generalize the approximation properties of max-min operators which have been investigated systematically in our recent paper published in 2020 in this journal. We also discuss the rate of convergence in the approximation. Applications and concluding remarks at the end of the paper explain why we need such summability methods. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码：106 / 120
页数：15
相关论文
共 37 条
  • [1] Anastassiou GA, 2011, INTEL SYST REF LIBR, V14, P1, DOI 10.1007/978-3-642-19826-7
  • [2] Convergence in Variation and Rate of Approximation for Nonlinear Integral Operators of Convolution Type
    Angeloni, Laura
    Vinti, Gianluca
    [J]. RESULTS IN MATHEMATICS, 2006, 49 (1-2) : 1 - 23
  • [3] APPROXIMATION BY SAMPLING TYPE DISCRETE OPERATORS
    Aslan, Ismail
    [J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (01): : 969 - 980
  • [4] Approximation by nonlinear integral operators via summability process
    Aslan, Ismail
    Duman, Oktay
    [J]. MATHEMATISCHE NACHRICHTEN, 2020, 293 (03) : 430 - 448
  • [5] Summability on Mellin-type nonlinear integral operators
    Aslan, Ismail
    Duman, Oktay
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (06) : 492 - 511
  • [6] Summation process of positive linear operators
    Atlihan, Oe. G.
    Orhan, C.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) : 1188 - 1195
  • [7] Matrix summability and positive linear operators
    Atlihan, Oezlem G.
    Orhan, Cihan
    [J]. POSITIVITY, 2007, 11 (03) : 387 - 398
  • [8] Some variations of the Bohman-Korovkin theorem
    Atlihan, Oezlem G.
    Ince, H. Guel
    Orhan, Cihan
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (7-8) : 1205 - 1210
  • [9] Triangular A-Statistical Approximation by Double Sequences of Positive Linear Operators
    Bardaro, C.
    Boccuto, A.
    Demirci, K.
    Mantellini, I.
    Orhan, S.
    [J]. RESULTS IN MATHEMATICS, 2015, 68 (3-4) : 271 - 291
  • [10] Bede B., 2016, Approximation by Max-Product Type Operators
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