(p, q)-Growth of Entire Harmonic Functions in R^n in Terms of Approximation Errors

Authors

  • Devendra Kumar Al Baha University
  • Rifaqat Ali Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Kingdom of Saudi Arabia,

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i2.3373

Keywords:

Entire harmonic function, approximation errors, n-dimensional spaces,

Abstract

The relationship between the generalized growth parameters of an entire harmonic
function in space Rn, n ≥ 3, with the rate of its best harmonic polynomial approximation error and ratios of these errors of functions harmonic in the ball of radius R has been studied.

Author Biography

  • Rifaqat Ali, Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Kingdom of Saudi Arabia,
    Mathematics, Assistant Professor

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Published

2019-04-29

Issue

Vol. 12 No. 2: (April 2019)

Section

Algebra

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

(p, q)-Growth of Entire Harmonic Functions in R^n in Terms of Approximation Errors. (2019). European Journal of Pure and Applied Mathematics, 12(2), 486-498. https://doi.org/10.29020/nybg.ejpam.v12i2.3373