2 research outputs found
On Better Approximation Order for the Nonlinear Meyer-K\"onig and Zeller Operator of Maximum Product Kind
Using maximum instead of sum, nonlinear Meyer-K\"onig and Zeller operator of
maximum product kind is introduced by Bede et al. The present paper deals with
the approximation processes for this operator. Especially in, it was indicated
that the order of approximation of this operator to the function f under the
modulus is and it could not be improved except for some subclasses of
functions. Contrary to this claim, we will show that a better order of
approximation can be obtained with the help of classical modulus of continuity
On Better Approximation Order for the Nonlinear Baskakov Operator of Maximum Product Kind
Using maximum instead of sum, nonlinear Baskakov operator of maximum product
kind is introduced by Bede et al. The present paper deals with the
approximation processes for this operator. Especially in , it was indicated
that the order of approximation of this operator to the function f under the
modulus is and it could not be improved except for some subclasses of
functions. Contrary to this claim under some circumstances, we will show that a
better order of approximation can be obtained with the help of classical and
weighted modulus of continuities.Comment: arXiv admin note: substantial text overlap with arXiv:2307.0642