Variation diminishing-type properties for multivariate sampling Kantorovich operators
نویسندگان
چکیده
منابع مشابه
Statistical approximation properties of Kantorovich type q-MKZ operators
These operators were generalized by Dog̃ru in [6]. A Stancu type generalization of these operators has been studied by Agratini [1] and Kantorovich type generalization of Agratini’s operators were constructed and statistical approximation properties were examined by Dog̃ru, Duman and Orhan in [8]. A Kantorovich type generalization of MKZ operators can also be found in [7]. In 2000, Trif [18] intr...
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The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials q > 0 attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ C : |z| < R}, R > q, the rate of approximation by the q-Kantorovich operators q > 1 is of order q−n versus 1/n for the classical K...
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*Correspondence: [email protected] 2Department of Mathematics, Faculty of Science, University Putra Malaysia (UPM), Serdang, Selangor Darul Ehsan 4300, Malaysia Full list of author information is available at the end of the article Abstract In this paper, we construct a new family of operators, prove some approximation results in A-statistical sense and establish some direct theorems f...
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ژورنال
عنوان ژورنال: Bollettino dell'Unione Matematica Italiana
سال: 2020
ISSN: 1972-6724,2198-2759
DOI: 10.1007/s40574-020-00256-3