In this work, we introduce Lupas-Kumar-Pathan -type operators and then study its convergence properties by using Cauchy-Schwarz inequalities of integration and summation and Chebyshev inequality of integration. We obtain the recurrence relations and some properties of these operators. These results are then applied with a view to obtaining some characteristic relations on central moments.
Keywords and Phrases
Lupas operators, Kumar and Pathan type operators, characteristic results on central moments.
A.M.S. subject classiﬁcation
41A25, 41A30, 41A36, 33C20.