Direct Estimates for Certain Integral Type Operators

Direct Results for Certain Family of Integral Type Operators

In the present paper we introduce a certain family of linear positive operators and study some direct results which include a pointwise convergence, asymptotic formula and an estimation of error in simultaneous approximation.

Local Approximation Estimates for a Certain Family of Summation-Integral Type Operators

In 1988, Felten obtained local and global approximation theorems for positive linear operators. In the last decade, Finta studied direct local and global approximation theorems for Baskakov type operators and SzaszMirakian type operators. In the present paper, we establish some local approximation estimates for a new family of beta operators, by using Ditzian-Totik modulus of smoothness.

Damping Estimates for Oscillatory Integral Operators with Finite Type Singularities

We derive damping estimates and asymptotics of L operator norms for oscillatory integral operators with finite type singularities. The methods are based on incorporating finite type conditions into L almost orthogonality technique of Cotlar-Stein.

Damping Estimates for Oscillatory Integral Operators with Finite Type Singularities

Univalence of Certain Integral Operators

We study some integral operators and determine conditions for the univalence of these integral operators.