On simultaneous approximation by modified Lupas operators

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

On simultaneous approximation for some modified Bernstein-type operators

for n ≥ α, where α, β are integers satisfying α ≥ β ≥ 0 and In ⊆ {0,1,2, . . . ,n} is a certain index set. For α = β = 0, In = {0}, this definition reduces to the BernsteinDurrmeyer operators, which were first studied by Derriennic [3]. Also if α = β = 1, In = {0}, we obtain the recently introduced sequence of Gupta and Maheshwari [4], that is, Mn,1,1(f ,x)≡ Pn(f ,x) which is defined as Pn(f ,x...

Global Approximation by Modified Baskakov Type Operators

In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called DitzianTotik modulus of smoothness.

On simultaneous approximation by iterated Boolean sums of Bernstein operators

The paper presents upper estimates of the error of weighted and unweighted simultaneous approximation by the Bernstein operators and their iterated Boolean sums. The estimates are stated in terms of the Ditzian-Totik modulus of smoothness or appropriate K-functionals. AMS classification: 41A10, 41A17, 41A25, 41A28, 41A35, 41A36.

On Rate of Approximation by Modified Beta Operators

We establish the rate of convergence for the modified Beta operators B n f, x, for functions having derivatives of bounded variation.