D. KUMAR

6171

On approximation of entire Harmonic functions in R n with index - pair (p ,q)

The authors have defined approximation error for harmonic functions in DR, 0 < R < 00 the cJass of ali harmonic functions H in R3, that are regular in the öpen hail DR of radius R centered at the origin and are continuous on the closure DR of DR . Necessary and sufficient conditions, in terıns of the rate of decay of the approximation error En (H, R), such that II G DR has analytic continuation as an entire harmonic functions haviııg (p, q) -order p and (p, q)- type T, have been obtained.
Keywords:

approximation, Harmonic functions,

PDF

___

  • Communications, Series A1:Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi
Arşiv
Sayıdaki Diğer Makaleler

On the closed planar homothetic motions and the polar inertia momentums of orbits

A. SIVRIDAG

Yusuf YAYLI

Ö TEMİZER

On the second type linear volterra integral equations with convolution kernel

Ö TEMİZER

A. SIVRIDAG

On the periodic solutions of certain class of eighth-order differential equations

Hüseyin BEREKETOĞLU

Narendra Kumar SHARMA

Ali M. I. M. AL

Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n

Aysel TURGUT

On the degree of aproximation of a periodic function f almost Riesz- means of its conjugate series

Narendra Kumar SHARMA