Approximation by Kantorovich-type max-min operators and its applications

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Tarih

2022

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Yayıncı

Elsevier Science Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study, we construct Kantorovich variant of max-min kind operators, which are nonlinear. By using these new operators, we obtain some uniform approximation results in N dimension ( N >= 1 ). Then, we estimate the error with the help of Holder continuous functions and modulus of continuity. Furthermore, we give some illustrative applications to verify our theory and also investigate some shape-preserving properties of Kantorovichtype max-min Bernstein operator. Lastly, we examine the image processing implementation of our results via Kantorovich-type max-min Shepard operator.

Açıklama

Anahtar Kelimeler

Max-Min Operators, Kantorovich Operators, Rate of Approximation, Shape-Preserving Properties, Fuzzy Logic, Image Processing

Kaynak

Applied Mathematics and Computation

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

423

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Künye