Abstract
We prove the results generalized and improved of some theorems of X. Z. Krasniqi [6] on pointwise approximation of integrable functions and their conjugate by matrix means of Fourier series and its conjugate.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Leindler L.: On the degree of approximation of continuous functions. Acta Math Hungar. 104, 105–113 (2004)
L. Leindler, Integrability conditions pertaining to Orlicz space, J. Inequal. Pure and Appl. Math. 8 (2007), 6 pp.
Łenski W., Szal B.: Approximation of functions belonging to the class \({L^{p}{(\omega)}_{\beta}}\) by linear operators, Acta Comment. Univ. Tartu. Math. 13, 11–24 (2009)
Szal B.: A note on the uniform convergence and boundedness a generalized class of sine series. Commentat. Math. 48, 85–94 (2008)
Szal B.: On the approximation by Euler, Borel and Taylor means in enlarged Hölder classes. Banach Center Publications 79, 203–211 (2008)
Krasniqi X.Z.: Slight extension of some theorems on the rate of pointwise approximation of functions from some subclasses of L p, Acta Comment. Univ. Tartu. Math. 17, 89–101 (2013)
Ziza O.A.: On summability of orthogonal series by the Euler methods. Mat. Sb. (N.S.) 66, 354–377 (1965)
A. Zygmund, Trigonometric Series (Cambridge, 2002).
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Professor L. Leindler on his 80th birthday
Rights and permissions
About this article
Cite this article
Łenski, W., Szal, B. Approximation of functions from \({L^{p} {(\omega)}_{\beta}}\) by general linear operators. Acta Math. Hungar. 147, 457–476 (2015). https://doi.org/10.1007/s10474-015-0541-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10474-015-0541-6