Authors:
K. Kopotun Department of Mathematics, University of Manitoba Winnipeg, Manitoba, R3T 2N2, Canada Winnipeg, Manitoba, R3T 2N2, Canada

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D. Leviatan School of Mathematical Sciences, Raymond and Beverley Sackler Faculty of Exact Sciences, Tel Aviv University Tel Aviv 69978, Israel Tel Aviv 69978, Israel

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I. A. Shevchuk Faculty of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv 01033 Kyiv, Ukraine 01033 Kyiv, Ukraine

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Summary  

The paper deals with approximation of a continuous function, on a finite interval, which changes convexity finitely many times, by algebraic polynomials which are coconvex with it. We give final answers to open questions concerning the validity of Jackson type estimates involving the weighted Ditzian-Totik moduli of smoothness.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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