Absolute Voronoi summability of factored integrals

L.G. Bojtsun (Oles Honchar Dnipropetrovsk National University)
T.I. Rybnikova (Oles Honchar Dnipropetrovsk National University)

Abstract


In this paper authors prove a theorem on the absolute Voronoi summability of the factored integral.

Keywords


Voronoi summability; the Voronoi means; Chesaro’s method

References


Nörlund M.E. "Sur une application des fonctions permutables", Zunds Universitets Arsskift (2), 1919; 16(3): pp. 1-10. (in French)


Voronoi G.F. Extension of concept of infinite series sum limit. In: Sobr. soch. in 3 vol., 1952; 3: pp. 9-10.

Titchmarsh E.C. Introduction to the theory of Fourier integral, 1948.




DOI: https://doi.org/10.15421/241210

  

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Copyright (c) 2012 L.G. Bojtsun, T.I. Rybnikova

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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