95 citations · 183 across the 31 of their papers we have counts for
6 papers · 1 filter
Biorthogonal rational functions of type
Kiran Kumar Behera, A. Swaminathan
In this work, a sequence of orthonormal rational functions that is also biorthogonal to another sequence of rational functions arising from recurrence relations of type is…
Geometric properties of Cesaro averaging operators
Priyanka Sangal, A. Swaminathan
In this paper, using positivity of trigonometric cosine and sine sums whose coefficients are generalization of Vietoris numbers, we find the conditions on the coefficient …
On generalized Cesàro stable functions
Priyanka Sangal, A. Swaminathan
The notion of Cesàro stable function is generalized by introducing Cesàro mean of type which give rise to a new concept of generalized Cesàro stable function. As an appli…
Vietoris type theorem related to positivity of trigonometric polynomials
Priyanka Sangal, A. Swaminathan
In this work, a Vietoris type theorem for the positivity of sine and cosine sum for a particular sequence of real numbers is provided. In this connection, the positivity of a parti…
Orthogonal Polynomials related to g-fractions with missing terms
Kiran Kumar Behera, A. Swaminathan
The purpose of the present paper is to investigate some structural and qualitative aspects of two different perturbations of the parameters of -fractions. In this context the co…
Orthogonal polynomials on the real line corresponding to a perturbed chain sequence
Kiran Kumar Behera, A. Swaminathan
In recent years, chain sequences and their perturbations have played a significant role in characterising the orthogonal polynomials both on the real line as well as on the unit ci…