(p,q)-Baskakov Operators

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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