Absolute Voronoi summability of a factored Fourier integral

L.G. Bojtsun (Oles Honchar Dnipropetrovsk National University)

Abstract


In this paper the author proves a theorem on the absolute Voronoi summability of a factored Fourier integral.

Keywords


the Voronoi means of summability; the Cesaro means; Fourier integral

References


Norlund 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.

Bojtsun L.G., Rybnikova T.I. "Absolute Voronoi summability of factored integrals", Res. Math., 2012; 20: pp. 1-12.

Bojtsun L.G. "Summation of trigonometrical Fourier integrals by method of G.F. Voronoj", Izv. VUZov. Matem., 1971; 10: pp. 16-23.




DOI: https://doi.org/10.15421/241307

  

Refbacks

  • There are currently no refbacks.


Copyright (c) 2013 L.G. Bojtsun

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Registered in

  More►

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