The Journal of the Indian Mathematical Society

A. S. B. Holland ¹, B. N. Sahney ², J. Tzimbalario ³

Affiliations
1 Department of Mathematics, Statistics and Computing Science, University of Calgary, Calgary, AL
2 Summer Research Institute at the Laval University, CA
3 Summer Research Institute at Calgary, CA

Abstract

Diaz and McLaughlin [1], [2] and Dunham [4] have considered the problem of simultaneous approximation of the following case: X=C [a,b], K a non-empty subset of X and F={f₁,f₂}. Goel, Holland, Nasim and Sahney [5], [6] studied the problem of X a normed linear space, K a subset and F = {f₁ f₂}.

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B. N. Sahney ¹

Affiliations
1 College of Engineering and Technology, New Delhi-16, IN

Abstract

Let f(u, v) be a function integrable in the sense of Lebesgue over the square (0, 2π; 0, 2π) and periodic with period 2π in each variable. Let
∅(u,v)=1/4{f(x+u,y+v)+f(x-u,y+v)+f(x+u,y-v)+f(x-u,y-v)-4}.

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