Moment inequalities of Pólya frequency functions

Adaptive Interpolation Based on PÓlya Frequency Functions

Translation-invariant interpolation of frequency domain functions by means of Fourier transforms of Pólya frequency functions, which belong to the Bochner class of interpolation kernels, is presented. For the implementation, we use an adaptive interpolation process which is a variant of the recently introduced adaptive residual subsampling method. Moreover, it is shown that adaptive residual su...

Moment inequalities for functions of independent random variables

A general method for obtaining moment inequalities for functions of independent random variables is presented. It is a generalization of the entropy method which has been used to derive concentration inequalities for such functions [7], and is based on a generalized tensorization inequality due to Lata la and Oleszkiewicz [25]. The new inequalities prove to be a versatile tool in a wide range o...

Moment - Entropy Inequalities

Refinement of some moment inequalities

In this paper we give refinements of some convex and log-convex moment inequalities of the first and second order using a special kind of positive definite form. An open problem concerning eight parameter refinement of second order is also stated with some applications in Information Theory.

Sufficient Inequalities for Univalent Functions

In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.