Barkat Bhayo - Academia.edu (original) (raw)

Papers by Barkat Bhayo

arXiv (Cornell University), Dec 8, 2016

arXiv (Cornell University), Apr 27, 2014

arXiv (Cornell University), Jun 30, 2015

In this paper authors study the generalized complete (p, q)-elliptic integrals of the first and t... more In this paper authors study the generalized complete (p, q)-elliptic integrals of the first and the second kind as an application of generalized trigonometric functions with two parameters, and establish the Turán type inequalities of these functions.

arXiv (Cornell University), Feb 28, 2014

Acta Mathematica Scientia, Mar 1, 2021

arXiv: Classical Analysis and ODEs, 2015

In this paper authors study the generalized (p,q)(p,q)(p,q)-elliptic integrals of the first and second ki... more In this paper authors study the generalized (p,q)(p,q)(p,q)-elliptic integrals of the first and second kind in the mean of generalized trigonometric functions, and establish the Tur\'an type inequalities of these functions.

arXiv: Classical Analysis and ODEs, 2016

Motivated by the work of Anderson, Vamanamurthy and Vuorinen \cite{avv}, in this paper authors st... more Motivated by the work of Anderson, Vamanamurthy and Vuorinen \cite{avv}, in this paper authors study the log-convexity and log-concavity of Power mean, Identric mean, weighted Power mean, Lehmer mean, Modified Alzer mean, and establish the relation of these means with each other.

Acta Mathematica Scientia, 2021

Arabian Journal of Mathematics, 2019

In this paper we prove the conjecture posed by Kl\'en et al. in \cite{kvz}, and give optimal ... more In this paper we prove the conjecture posed by Kl\'en et al. in \cite{kvz}, and give optimal inequalities for generalized trigonometric and hyperbolic functions.

Acta Universitatis Sapientiae, Mathematica, 2015

In this paper we will investigate the growth of solutions of certain class of nonhomogeneous line... more In this paper we will investigate the growth of solutions of certain class of nonhomogeneous linear differential equations with entire coefficients having the same order and type. This work improves and extends some previous results in [1], [7] and [9].

arXiv (Cornell University), Mar 20, 2017

As well as many other well known inequalities involving the identric mean I and the logarithmic m... more As well as many other well known inequalities involving the identric mean I and the logarithmic mean are refined from the literature as an application.

Acta et commentationes Universitatis Tartuensis de mathematica, Dec 2, 2016

We refine some classical inequalities for trigonometric functions, such as Jordan's inequality, C... more We refine some classical inequalities for trigonometric functions, such as Jordan's inequality, Cusa-Huygens's inequality, and Kober's inequality.

arXiv (Cornell University), Jun 16, 2009

R. Fehlmann and M. Vuorinen proved in 1988 that Mori's constant M (n, K) for K-quasiconformal map... more R. Fehlmann and M. Vuorinen proved in 1988 that Mori's constant M (n, K) for K-quasiconformal maps of the unit ball in R n onto itself keeping the origin fixed satisfies M (n, K) → 1 when K → 1. We give here an alternative proof of this fact, with a quantitative upper bound for the constant in terms of elementary functions. Our proof is based on a refinement of a method due to G.D. Anderson and M. K. Vamanamurthy. We also give an explicit version of the Schwarz lemma for quasiconformal self-maps of the unit disk. Some experimental results are provided to compare the various bounds for the Mori constant when n = 2 .

arXiv (Cornell University), Sep 5, 2012

arXiv (Cornell University), May 5, 2014

This article is the collection of the six research papers, recently written by the authors. In th... more This article is the collection of the six research papers, recently written by the authors. In these papers authors refine the inequalities of trigonometric and hyperbolic functions such as Adamović

Journal of Mathematical Inequalities, 2015

We offer new proofs, refinements as well as new results related to classical means of two variabl... more We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.

arXiv (Cornell University), Dec 2, 2011

The generalized p-trigonometric and (p, q)-trigonometric functions were introduced by P. Lindqvis... more The generalized p-trigonometric and (p, q)-trigonometric functions were introduced by P. Lindqvist and S. Takeuchi, respectively. We prove some inequalities and present a few conjectures for the (p, q)-functions.

Mathematical Inequalities & Applications, 2016