Approximations by multivariate sublinear and Max-product operators under convexity

• Autorzy: Anastassiou, G. A.
• Języki publikacji: EN

Abstrakty

EN

Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators. These are of Bernstein type, of Favard-Szász-Mirakjan type, of Baskakov type, of sampling type, of Lagrange interpolation type and of Hermite-Fejér interpolation type. Our results are both: under the presence of smoothness and without any smoothness assumption on the function to be approximated which fulfills a convexity assumption.

Słowa kluczowe

PL

operatory wielowymiarowe; wielowymiarowy moduł ciągłości; wypukłość

EN

multivariate positive sublinear operators; multivariate Max-product operators; multivariate modulus of continuity; convexity

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 85--105
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Anastassiou, G. A.

• Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A,

Bibliografia

• [1] Bede B., Coroianu L., Gal S., Approximation by Max-Product type Operators, Springer, Heidelberg, New York, 2016
• [2] Anastassiou G., Moments in probability and approximation theory, Pitman Research Notes in Mathematics Series, Longman Group UK, New York, NY, 1993
• [3] Anastassiou G., Approximation by Sublinear Operators, submitted, 2017
• [4] Anastassiou G., Approximation by Max-Product Operators, submitted, 2017

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).

Identyfikatory

DOI

10.1515/dema-2018-0008