ON THE DEGREE OF APPROXIMATION OF FUNCTIONS BELONGING TO THE LIPSCHITZ CLASS BY $(e,c)$ MEANS

Main Article Content

U. K. SHRIVASTAVA
S. K. VERMA

Abstract




In the present paper, we obtain the degree of approximation of $f\in$ Lip$\alpha$ ($0 <\alpha\le 1$) by ($e, c$) means ($c > 0$) of its Fourier Series.




Article Details

How to Cite
SHRIVASTAVA, U. K., & VERMA, S. K. (1995). ON THE DEGREE OF APPROXIMATION OF FUNCTIONS BELONGING TO THE LIPSCHITZ CLASS BY $(e,c)$ MEANS. Tamkang Journal of Mathematics, 26(3), 225–229. https://doi.org/10.5556/j.tkjm.26.1995.4399
Section
Papers

References

Prem Chandra. "On the Degree of Approximations of Functions Belonging to the Lipschitz class," Lab Dev. J. Science and Technology, 13A (1975), 181-183.

Prem Chandra. "On the Degree of Approximation of Continuous functions," Commun. Fae. Sci. Univ. Ankara Ser A, 30(1981), 7-16.

G. H. Hardy, Divergent Series, Oxford University Press (1949).

G. H. Hardy and J. E. Littlewood, "Theorems concerning the summability of series by Borel's exponential method," Rend. Gire. Mat. Palermo 41 (1916), 36-53.

Jamil A. Siddiqui, "A criterion for the (e, c) summability of Fourier series," Proc. Camb. Phil Soc. 92 (1982), 121-127.

E. C. Titchmarsh, A theory of Function, Oxford University Press (1978).