Topics in Contemporary Mathematical Analysis and Applications

2 Linear Positive Operators Involving Orthogonal Polynomials

P. N. Agrawal and Ruchi Chauhan

IIT Roorkee

CONTENTS

2.1     Operators Based on Orthogonal Polynomials

2.1.1     Notations

2.1.2     Definitions

2.1.3     Appell Polynomials

2.1.4     Boas-Buck-Type Polynomials

2.1.5     Charlier Polynomials

2.1.6     Approximation by Appell Polynomials

2.1.7     Approximation by Operators Including Generalized Appell Polynomials

2.1.8     Szász-Type Operators Involving Multiple Appell Polynomials

2.1.9     Kantorovich-Type Generalization of K_n Operators

2.1.10   Kantorovich Variant of Szász Operators Based on Brenke-Type Polynomials

2.1.11   Operators Defined by Means of Boas-Buck-Type Polynomials

2.1.12   Operators Defined by Means of Charlier Polynomials ...