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On wavelets Kantorovich (p,q)-Baskakov operators and approximation properties
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On wavelets Kantorovich (p,q)-Baskakov operators and approximation properties
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Journal Article
On wavelets Kantorovich (p,q)-Baskakov operators and approximation properties
2023
Overview
In this paper, we generalize and extend the Baskakov-Kantorovich operators by constructing the (p,q)-Baskakov Kantorovich operators (ϒn,b,p,qh)(x)=[n]p,q∑b=0∞qb−1υb,np,q(x)∫Rh(y)Ψ([n]p,qqb−1pn−1y−[b]p,q)dp,qy. The modified Kantorovich (p,q)-Baskakov operators do not generalize the Kantorovich q-Baskakov operators. Thus, we introduce a new form of this operator. We also introduce the following useful conditions, that is, for any 0≤b≤ω, such that ω∈N, Ψω is a continuous derivative function, and 00 with the property Ψ⊂[0,γ],its first ω moment vanishes, that is, for 1≤b≤ω, we have that ∫RybΨ(y)dp,qy=0,and ∫RΨ(y)dp,qy=1. Furthermore, we estimate the moments and norm of the new operators. And finally, we give an upper bound for the operator’s norm.
Publisher
Springer Nature B.V
Subject
