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Abstract  

We show that the classical monotonicity conditions can be moderated in four theorems of P. Chandra.

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Summary  

The paper deals with approximation of a continuous function, on a finite interval, which changes convexity finitely many times, by algebraic polynomials which are coconvex with it. We give final answers to open questions concerning the validity of Jackson type estimates involving the weighted Ditzian-Totik moduli of smoothness.

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Abstract  

We consider certain modified Szsz-Mirakyan operators A n (f;r) in polynomial weight spaces of functions of one variable and we study approximation properties of these operators.

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Summary  

We investigate the approximation behavior of the so-called Jackson interpolation operator. We will also study the K-functional deduced from this operator. As a result we obtain the asymptotic expression of this K-functional.

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