Results 11 to 20 of about 82 (71)
Multidimensional sampling-Kantorovich operators in BV-spaces
Open Mathematics, 2023 The main purpose of this article is to prove a result of convergence in variation for a family of multidimensional sampling-Kantorovich operators in the case of averaged-type kernels.
Angeloni Laura, Vinti Gianluca
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Convergence of generalized sampling series in weighted spaces
Demonstratio Mathematica, 2022 The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces.
Acar Tuncer +5 more
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A general method to study the convergence of nonlinear operators in Orlicz spaces
Advanced Nonlinear Studies, 2022 We continue the work started in a previous article and introduce a general setting in which we define nets of nonlinear operators whose domains are some set of functions defined in a locally compact topological group. We analyze the behavior of such nets
Vinti Gianluca, Zampogni Luca
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Baskakov-Kantorovich operators reproducing affine functions
, 2021 We present a new Kantorovich modification of Baskakov operators which reproduce affine functions. We present an upper estimate for the rate of convergence of the new operators in polynomial weighted spaces and characterize all functions for which there ...
BUSTAMANTE, Jorge
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Iterates of q-Bernstein operators on triangular domain with all curved sides
Demonstratio Mathematica, 2022 In this article, Phillips-type Bernstein operators (ℬm,qtF)(t,s)({{\mathcal{ {\mathcal B} }}}_{m,q}^{t}F)\left(t,s) and (ℬn,qsF)(t,s)({{\mathcal{ {\mathcal B} }}}_{n,q}^{s}F)\left(t,s), their products, and Boolean sum based on q-integer have been studied
Iliyas Mohammad +4 more
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Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals
Moroccan Journal of Pure and Applied Analysis, 2021 This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
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Bernstein-type operators on elliptic domain and their interpolation properties
Demonstratio Mathematica, 2023 The aim of this article is to construct univariate Bernstein-type operators (ℬmxG)(x,z)\left({{\mathcal{ {\mathcal B} }}}_{m}^{x}G)\left(x,z) and (ℬnzG)(x,z),\left({{\mathcal{ {\mathcal B} }}}_{n}^{z}G)\left(x,z), their products (PmnG)(x,z)\left ...
Iliyas Mohammad +2 more
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Constrained visualisation using Shepard-Bernoulli interpolation operator
, 2020 We consider Shepard-Bernoulli operator in order to solve a problem of interpolation of scattered data that is constrained to preserve positivity, using the technique described by K.W. Brodlie, M.R. Asim and K. Unsworth (2005). We also give some numerical
CĂTINAȘ, Teodora
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A strong converse inequality for the iterated Boolean sums of the Bernstein operator
, 2022 We establish a two-term strong converse estimate of the rate of approximation by the iterated Boolean sums of the Bernstein operator. The characterization is stated in terms of appropriate moduli of smoothness or K-functionals.
DRAGANOV, Borislav R.
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Statistical Korovkin-type theorem for monotone and sublinear operators
, 2023 In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
IANCU, Ionu¸t T., Ionut T. Iancu
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