Functions of class $H(\alpha,p)$ and Taylor means

Authors

  • Prem Chandra C-315, Vivekanand Nagar, Ujjain-456010, India Author
  • S. S. Thakur Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur-482011, India Author
  • Ratna Singh Department of Applied Mathematics, Gyan Ganga College of Technology, Jabalpur-482003, India Author

Keywords:

Generalized Hölder metric, Taylor mean, degree of approximation

Subjects:

41A25, 42A10, 40G10

Abstract

In this paper, we take up Taylor means to study the degree of approximation of $fın H(\alpha,p)$ space in the generalized Hölder metricand obtain a general theorem which is used to obtain a few more results that improve upon some earlier results obtained by Mohapatra, Holland andSahney [J. Approx. Theory 45 (1985), 363–374] in $L_p$-norm, Mohapatra and Chandra [Math. Chronicle 11 (1982), 89–96] in Hölder metric andChui and Holland [J. Approx. Theory 39 (1983), 24–38] in sup-norm.

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Published

2014-01-15

Issue

Vol. 66 No. 1 (2014): Vol. 66, Issue 1

Section

Articles

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