Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

Jafarov, S. Z.

doi:10.1515/dema-2017-0023

Artykuł - szczegóły

Tytuł artykułu

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

Autorzy

Jafarov S. Z.

Wybrane pełne teksty z tego czasopisma

http://www.degruyter.com/view/j/dema

Identyfikatory

DOI

10.1515/dema-2017-0023

Warianty tytułu

Języki publikacji

Abstrakty

The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent. In addition, the relationship between the fractional modulus of smoothness of the function and its de la Vallée-Poussin sums is studied.

Słowa kluczowe

Lebesgue spaces with variable exponent fractional derivative fractional modulus of smoothness de la Vallée-Poussin sums best approximation by trigonometric polynomials

przestrzenie Lebesgue'a ze zmiennym wykładnikiem pochodna ułamkowa moduł gładkości sumy de la Vallée-Poussin wielomian trygonometryczny aproksymacja

Wydawca

De Gruyter

Czasopismo

Demonstratio Mathematica

Rocznik

2017

Tom

Vol. 50, nr 1

Strony

245--251

Opis fizyczny

Bibliogr. 40 poz.

Twórcy

autor

Jafarov S. Z.

s.jafarov@alparslan.edu.tr

Department of Mathematics and Science Education, Faculty of Education, Muş Alparslan University, 49250, Muş, Turkey
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 9 B. Vahabzadeh str., AZ 1141, Baku, Azerbaijan

Bibliografia

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[22] Jafarov S. Z., Approximation by rational functions in Smirnov-Orlicz classes, J. Math. Anal. Appl., 2011, 379, 870-877
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[24] Jafarov S. Z., The inverse theorem of approximation of the function in Smirnov-Orlicz classes, Math.Inequal. Appl., 2012, 12(4), 835-844
[25] Jafarov S. Z., Approximation by Fejér sums of Fourier trigonometric series in weighted Orlicz spaces, Hacet, J. Math. Stat., 2013, 42(3), 259-268
[26] Jafarov S. Z., Mamedkhanov J. I., On approximation by trigonometric polynomials in Orlicz spaces, Georgian Math. J., 2012, 19(4), 687-695
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).

Typ dokumentu

Bibliografia

Identyfikator YADDA

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