Abstract
The paper studies the degree of approximation of functions associated with Hardy Littlewood series in the generalized Hölder metric.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alexitis G,Convergence problem on orthogonal series (New York: Pergamon Press) (1961)
Das G, Ghosh T and Ray B K, Degree of approximation of functions by their Fourier series in the generalized Hölder metric.Proc. Indian Acad. Sci. 106 (1996) 139–153
Hardy G H, Notes on some points in the integral calculus (LXVI): The arithmetic mean of Fourier constant,Messenger Math. 58 (1928) 50–52
Hardy G H,Divergent Series (Oxford: Clarendon Press) (1949)
Hardy G H and Littlewood J E, The allied series of Fourier series,Proc. London Math. Sci. 24 (1926) 211–246
Mohanty R, On the absolute convergence of Hardy-Littlewood series.J. Orissa Math. Soc. 12-15 (1993–1996)237–240
Prössdorff S, Zur Konvergenz der Fourier reihen Hölder stetiger Funktionen,Math. Nachr. 69 (1975) 7–14
Quade E S, Trigonometrie approximation in the mean,Duke Math. J. 3 (1937) 529–543
Zygmund A,Trigonometrie Series (Cambridge University Press, New York) (1968), vol. I
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Das, G., Ojha, A.K. & Ray, B.K. Degree of approximation of functions associated with Hardy-Littlewood series in the generalized Hölder metric. Proc. Indian Acad. Sci. (Math. Sci.) 108, 109–120 (1998). https://doi.org/10.1007/BF02841544
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02841544