ABSOLUTE CONVERGENCE OF FOURIER INTEGRALS, SUMMABILITY OF FOURIER-SERIES, AND POLYNOMIAL-APPROXIMATION OF FUNCTIONS ON THE TORUS

被引：21

作者：

TRIGUB, RM

机构：

来源：

MATHEMATICS OF THE USSR-IZVESTIYA | 1981年 / 17卷 / 03期

关键词：

D O I：

10.1070/IM1981v017n03ABEH001372

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：567 / 593

页数：27

共 34 条

[1]

ALIMOV SA, 1976, USPEKHI MAT NAUK, V0031, P00028

[2]

Babenko K. I., 1971, 52 I PRIKL MAT AK NA

[3]

BELINSKII ES, 1975, DOPOV AKAD NAUK A, P579

[4] ON THE SPECTRAL SYNTHESIS OF BOUNDED FUNCTIONS [J].

BEURLING, A .

[5]

Bochner S, 1932, LECT FOURIER INTEGRA, V12

[6] COMPARISON THEOREMS FOR A GENERALIZED MODULUS OF CONTINUITY [J].

BOMAN, J ;

SHAPIRO, HS .

ARKIV FOR MATEMATIK, 1971, 9 (01) :91-&

[7]

BOMAN J, 1971, TOPICS APPROXIMATION, V187, P249

[8]

BUGROV YS, 1958, UMN, V13, P149

[9]

Butzer PL, 1971, FOURIER ANAL APPROXI, V1

[10] SOME RESULTS ON DOUBLE FOURIER SERIES [J].

CHANDRASEKHARAN, K ;

MINAKSHISUNDARAM, S .