From uniform to statistical convergence of binomial-type operators4 years agoAbstractSequences of binomial operators introduced by using umbral calculus are investigated from the point of view of statistical convergence. This…
Shift λ-Invariant Operators4 years agoAbstractThe present note is devoted to a generalization of the notion of shift invariant operators that we call it λ-invariant…
On a class of approximation operators4 years agoAbstractIn this note we construct a class of approximation operators using polynomial sequences of binomial type. We compute the expression…
Modifying an approximation process using non-Newtonian calculus4 years agoAbstractIn the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus.…
Linear positive operators constructed by using Beta-type bases4 years agoAbstractStarting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree,…
A stop over Jain operators and their generalizations4 years agoAbstractOn the last five decades the interest of the study of positive approximation processes have emerged with growing evidence. A…
Approximation operators constructed by means of Sheffer sequences4 years agoAbstract In this paper we introduce a class of positive linear operators by using the “umbral calculus”, and we study…
On an approximation operator and its Lipschitz constant4 years agoAbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…
Compound operators constructed with binomial and Sheffer sequences4 years agoAbstractIn this note we consider a general compound approximation operator using binomial sequences and we give a representation for its…
On compound operators depending on s parameters4 years agoAbstractIn this note we introduce a compound operator depending on s parameters using binomial sequences. We compute the values of…