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In this article, we introduce a new Durrmeyer-type generalization of  p , q -Szász-Mirakjan operators using the  p , q -gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja-type asymptotic formula is investigated and point-wise estimates of these operators are studied. Also, some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre  K -functional. Finally, the rate of convergence and weighted approximation of these operators are presented.

journal of function spaces

Approximation Properties of <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")"> <mrow> <mi>p</mi> <mo>,</mo> <mi>q</mi> </mrow> </mfenced> </math>-Szász-Mirakjan-Durrmeyer Operators

Approximation Properties of p , q -Szász-Mirakjan-Durrmeyer Operators

Approximation Properties of $(p, q)$ -Szász-Mirakjan-Durrmeyer Operators