Approximation of conjugate series of a fourier series by product summability

AUTHOR AND
AFFILIATION

MAHENDRA MISRA1 , B.P. PADHY2, N.K. PANDA3 and U.K.MISRA4
1PG Department of Mathematics N.C College Autonomous jajpur Odisha India

2Roland Institute of Technology Golanthara Odisha India

3Aeronautics College Sunabedha Odisha India

Email:-mahendramisra2007@gmail.com

KEYWORDS:

2010-Mathematics subject classification: 42B05, 42B08

Issue Date:

December 2012

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.24 – No.3

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DOI:

jusps-A

ABSTRACT:

In this paper a theorem on degree of approximation by product summability  ,  ,  n E q N p of the conjugate series of the Fourier series of the function f of class Lip t , r.
Key words: Degree of Approximation, Lip  , r  class of function, Lip  t , r  class of function, E, q- mean,  ,  n N p – mean,  ,  , n  E q N p -mean, Fourier series, conjugate of the Fourier series, Lebesgue integral.

Copy the following to cite this Article:

MAHENDRA MISRA1 , B.P. PADHY2, N.K. PANDA3 and U.K.MISRA4, “Approximation of conjugate series of a fourier series by product summability”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 3, Page Number , 2016


Copy the following to cite this URL:

MAHENDRA MISRA1 , B.P. PADHY2, N.K. PANDA3 and U.K.MISRA4, “Approximation of conjugate series of a fourier series by product summability”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 3, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/551/


In this paper a theorem on degree of approximation by product summability  ,  ,  n E q N p of the conjugate series of the Fourier series of the function f of class Lip t , r.
Key words: Degree of Approximation, Lip  , r  class of function, Lip  t , r  class of function, E, q- mean,  ,  n N p – mean,  ,  , n  E q N p -mean, Fourier series, conjugate of the Fourier series, Lebesgue integral.