On the modified beta approximating operators of second kind
DOI:
https://doi.org/10.33993/jnaat342-800Keywords:
Euler's beta function, the modified beta second kind operator, positive linear operatorsAbstract
We shall define a general linear operator from which we obtain as particular case the modified beta second kind operator\[(T_{p,q}f)(x)=\frac{1}{B(p,q)}\int_0^\infty\tfrac{u^{p-1}}{(1+u)^{p+q}}f\left(\frac{B(p,q)}{B(p+a,q-a)}u^ax\right){\rm d}u.\] We consider here only the case \(a=1\). We obtain several positive linear operators as a particular case of this modified beta second kind operator.Downloads
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