(p,q)-Baskakov Operators

Year 2019, Volume: 8 Issue: 4, 1223 - 1232, 24.12.2019

Nazlım Deniz Aral

Abstract

Bu çalışmada q-Baskakov operatörünün bir genelleşmesi olan (p,q)-Baskakov operatörü olarak adlandırılan Baskakov operatörünün yeni bir türü tanıtılmıştır. Merkezi momentler için formüller elde edilmiştir. Aynı zamanda süreklilik modülü kullanılarak bu operatörlerin yaklaşım özellikleri ve yakınsama oranı çalışılmıştır.

Keywords

(pq)-analiz, Korovkin teoremi, Baskakov operatörleri, süreklilik mödülü

(p,q)-Baskakov Operators

Abstract

In the present paper, we give a new analogue of Baskakov operators and we call them (p,q)-Baskakov operators which are a generalization of q -Baskakov operators. We obtain their respective formulae for central moments. Also, we study the rate of convergence and approximation properties for these operators using the modulus of smoothness.

Keywords

(pq)-calculus, Korovkin's theorem, Baskakov operators, Modulus of continuity

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