On The Integral Modulus of Continuity of Fourier Series III

Babu Ram

doi:10.1501/commua1-2_0000000018

EN

On The Integral Modulus of Continuity of Fourier Series III

Abstract

1. Definitions and Notations: Let F (x) be a function with period 2TÜ in Lp (1< p < oo). Then the Lp-modulus of continuity of order k > 1 of F is defined by « kp (8; F) = sup || Akt F (x) || Lp, 0 < |t |< 8 where k Atk F (x) = S (-l)k ~Y (k) F (x + yt) Y=° Y and ||. || denotes the norm

Keywords

References

Communications, Series A2-A3: Physical Sciences and Engineering

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Babu Ram This is me
Türkiye

Publication Date

January 1, 1974

Submission Date

January 1, 1974

Acceptance Date

-

Published in Issue

Year 1974 Volume: 23

DOI

https://doi.org/10.1501/commua1-2_0000000018

IZ

https://izlik.org/JA94PR96NG

Cite

RIS / Bibtex

APA

Ram, B. (1974). On The Integral Modulus of Continuity of Fourier Series III. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, 23. https://doi.org/10.1501/commua1-2_0000000018

AMA

1.Ram B. On The Integral Modulus of Continuity of Fourier Series III. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 1974;23. doi:10.1501/commua1-2_0000000018

Chicago

Ram, Babu. 1974. “On The Integral Modulus of Continuity of Fourier Series III”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 23 (January). https://doi.org/10.1501/commua1-2_0000000018.

EndNote

Ram B (January 1, 1974) On The Integral Modulus of Continuity of Fourier Series III. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 23

IEEE

[1]B. Ram, “On The Integral Modulus of Continuity of Fourier Series III”, Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng., vol. 23, Jan. 1974, doi: 10.1501/commua1-2_0000000018.

ISNAD

Ram, Babu. “On The Integral Modulus of Continuity of Fourier Series III”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 23 (January 1, 1974). https://doi.org/10.1501/commua1-2_0000000018.

JAMA

1.Ram B. On The Integral Modulus of Continuity of Fourier Series III. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 1974;23. doi:10.1501/commua1-2_0000000018.

MLA

Ram, Babu. “On The Integral Modulus of Continuity of Fourier Series III”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, vol. 23, Jan. 1974, doi:10.1501/commua1-2_0000000018.

Vancouver

1.Babu Ram. On The Integral Modulus of Continuity of Fourier Series III. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 1974 Jan. 1;23. doi:10.1501/commua1-2_0000000018