Weighted Approximation of Functions by Meyer–König and Zeller Operators of Max-Product Type

Approximation by truncated Lupaş operators of max-product kind

“…Another study related to this topic is due to Holhoş. He examined the approximation properties of Meyer-König and Zeller and Favard-Szász-Mirakyan operators of max-product type in weighted space of functions in the papers [20] and [21], respectively. Taking these studies into account, Lupaş operators of max-product type may be constructed on an unbounded interval [0, ∞) and weighted approximation results of the operators can be examined.…”

“…Also, they constructed nonlinear Bernstein-Chlodowsky operators of max-product type in [19]. Holhos [20] studied weighted approximation of functions by Meyer-König and Zeller operators of max-product type. Coroianu and Gal [8,9] introduced truncated max-product Kantorovich operators based on Fejer Kernel and generalized (ϕ, ψ)-kernels.…”

Approximation by truncated max‐product operators of Kantorovich‐type based on generalized (ϕ,ψ)‐kernels

“…23 Very recent, the max-product idea was applied to approximation by Bernstein-Chlodowsky operators in Güngör and Ispir 24 and to weighted approximation by Favard operators in Holhos. 25 It is also worth mentioning that qualitative and quantitative approximation results for max-product neural networks operators were obtained in the recent papers. [26][27][28][29]30 In the paper, 31 applying this idea to the Whittaker's cardinal series, we obtained a Jackson-type estimate in uniform approximation of f by the max-product Whittaker sampling operator given by…”

“…Very recent, the max‐product idea was applied to approximation by Bernstein‐Chlodowsky operators in Güngör and Ispir and to weighted approximation by Favard operators in Holhos …”

New approximation properties of the Bernstein max-min operators and Bernstein max-product operators

“…As an alternative to the well-known linear approximation operators, recently, various types of nonlinear approximation operators have been introduced. First, we mention the so called max-product type operators, a class of subadditive and positively homogeneous operators, used as alternatives for the linear counterparts in many areas such as, approximation operators (see, e. g., [2], [3], [20]), interpolation operators (see, e. g., [5], [9]), sampling operators (see, e. g., [6], [8]), neural network operators (see, e. g., [1], [13], [14]) and others (see, e. g. [18], [17], [19], [21]). A detailed account on the theory of max-product type operators can be found in the monograph [4].…”