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The degree of approximation of functions from exponential weight spaces

Publication date: 10.02.2015

Technical Transactions, 2014, Fundamental Sciences Issue 3 NP (17) 2014, pp. 21 - 29

https://doi.org/10.4467/2353737XCT.14.309.3397

Authors

Monika Herzog
Instytut Matematyki, Wydział Fizyki, Matematyki i Informatyki, Politechnika Krakowska
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Titles

The degree of approximation of functions from exponential weight spaces

Abstract

This paper presents a study of the approximation properties of modified Szász-Mirakyan operators for functions from exponential weight spaces. We present theorems giving the degree of approximation by these operators using a modulus of continuity.

References

Becker M., Global approximation theorems for Szász-Mirakjan and Baskakov operators in polynomial weight spaces, Indiana Univ. Math. J. 27, 1, 1978, 127-142.

Becker M., Kucharski D., Nessel R.J., Global approximation theorems for the Szász-Mirakjan operators in exponential weight spaces, Linear Spaces and Approximation (Proc. Conf., Math. Res. Inst., Oberwolfach, 1977), ISNM, vol. 40, Birkhäuser, Besel 1978, 319-333.

Durrmeyer J.L., Une formule d’inversion de la transformée de Laplace: Applications à la théorie des moments, Thèse de 3ème cycle. Faculté des Sciences Univ., Paris 1967.

Heilmann M., Direct and converse results for operators of Baskakov-Durrmeyer type, Approx. Theory Appl. 5, 1, 1989, 105-127.

Herzog M., Approximation of functions from exponential weight spaces by operators of Szász-Mirakyan type, Comment. Math. 43, 1, 2003, 77-94.

Herzog M., Approximation of functions of two variables from exponential weight spaces, Czasopismo Techniczne, 1-NP/2012, 3-10.

Herzog M., A note on the convergence of partial Szász-Mirakyan type operators, Ann. Univ. Pedagog. Crac. Stud. Math. 13, 2014, 45-50.

Krech G., Some approximation results for operators of Szász-Mirakyan-Durrmeyer type, Math. Slovaca (in print).

Krech G., On the rate of convergence for modified gamma operators, Rev. Un. Mat. Argentina (in print).

Rempulska L., Thiel A., Approximation of functions by certain nonlinear integral operators, Lith. Math. J. 48, 4, 2008, 451-462.

Information

Information: Technical Transactions, 2014, Fundamental Sciences Issue 3 NP (17) 2014, pp. 21 - 29

Article type: Original article

Titles:

Polish:

The degree of approximation of functions from exponential weight spaces

English:

The degree of approximation of functions from exponential weight spaces

Authors

Instytut Matematyki, Wydział Fizyki, Matematyki i Informatyki, Politechnika Krakowska

Published at: 10.02.2015

Article status: Open

Licence: None

Percentage share of authors:

Monika Herzog (Author) - 100%

Article corrections:

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Publication languages:

English