The Journal of the Indian Mathematical Society

R. B. Saxena ¹

Affiliations
1 Department of Mathematics and Astronomy, The University, Lucknow, IN

Abstract

Recently in [6], the author considered the problem of convergence of the polynomials R_n (x,f) which satisfy the properties:

(1) R_n(x_vn, f) =f(x_vn), R_n(x_vn,,f) = f'(x_vn) .

R_n(x_vn, f) =c_vn, R(⁴)_n(x_vn,,f) = d_vn ,

( v = 1,2,… , n).

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R. B. Saxena , A. Sharma

Abstract

Recently Balazs and Turan [1] have obtained some inequalities for polynomials of degree < 2n-1 based on their (0, 2) interpolation formula. Such an effort for other interpolatory polynomials seems to be called for, because in the field of Lacunary interpolation very little is known about the behaviour of the fundamental polynomials.

Full Text

     

R. B. Saxena , A. Sharma

Abstract

Recently Balazs and Turan [1] have obtained some inequalities for polynomials of degree ≤ 2n-1 based on their (0, 2) interpolation formula. Such an effort for other interpolatory polynomials seems to be called for, because in the field of Lacunary interpolation very little is known about the behaviour of the fundamental polynomials.

Full Text