11 papers · 1 filter
Stability of the Toda equations related to a perturbed type recurrence relation
Vinay Shukla, A. Swaminathan
In this manuscript, a modified type recurrence relation is considered whose recurrence coefficients are perturbed by addition or multiplication of a constant. The perturbed s…
Orthogonality of quasi-nature spectral polynomials of Jacobi and Laguerre type
Vikash Kumar, A. Swaminathan
In this work, the explicit expressions of coefficients involved in quasi Christoffel polynomials of order one and quasi-Geronimus polynomials of order one are determined for Jacobi…
Recovering orthogonality from quasi-nature of Spectral transformations
Vikash Kumar, Francisco Marcellán, A. Swaminathan
In this contribution, quasi-orthogonality of polynomials generated by Geronimus and Uvarov transformations is analyzed. An attempt is made to discuss the recovery of the source ort…
Orthogonality of a new family of -Sobolev type polynomials
Neha, A. Swaminathan
In this work, we introduce and construct specific -polynomials that are desired from the well-established families of -orthogonal polynomials, namely little -Jacobi polyno…
Inequalities involving a measure of Marcellán class and zeros of corresponding orthogonal polynomials
Vikash Kumar, A. Swaminathan
Let be a quasi-orthogonal polynomial of order 1 on the unit circle, obtained from an orthogonal polynomial with measure , which is in the Marcellán class, if t…
Generalized co-polynomials of type and associated quadrature rules
Vinay Shukla, A. Swaminathan
When the co-recursion and co-dilation in the recurrence relation of certain sequences of orthogonal polynomials are not at the same level, the behaviour of the modified orthogonal…