Object

Title: Convergence of general Fourier series of differentiable functions

Publication Details:

«ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա»-ն լույս է տեսնում 1966 թվականից՝ տարին 6 անգամ։

Journal or Publication Title:

ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա =Известия НАН Армении: Математика =Proceedings of the NAS Armenia: Mathematics

Date of publication:

2023

Volume:

58

Number:

6

ISSN:

00002-3043

Official URL:


Additional Information:

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Contributor(s):

Գլխավոր խմբ․՝ Մ․ Մ․ Ջրբաշյան (1966-1994) ; Ռ․ Վ․ Համբարձումյան (1994-2009) ; Ա․ Ա․ Սահակյան (2010-)

Coverage:

54-65

Abstract:

Convergence of classical Fourier series (trigonometric, Haar, Walsh, . . . systems) of differentiable functions are trivial problems and they are well known. But general Fourier series, as it is known, even for the function f(x) = 1 does not converge. In such a case, if we want differentiable functions with respect to the general orthonormal system (ONS) (φn) to have convergent Fourier series, we must find the special conditions on the functions φn of system (φn). This problem is studied in the present paper. It is established that the resulting conditions are best possible. Subsystems of general orthonormal systems are considered.

Place of publishing:

Երևան

Publisher:

Հայաստանի ԳԱԱ

Format:

pdf

Identifier:

oai:arar.sci.am:370843

Call number:

АЖ 411

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Object collections:

Last modified:

May 21, 2025

In our library since:

Mar 1, 2024

Number of object content hits:

17

All available object's versions:

https://arar.sci.am/publication/400718

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