19 citations · 50 across the 17 of their papers we have counts for
21 papers
On certain new means generated by generalized trigonometric functions
József Sándor, Barkat Ali Bhayo
In this paper, authors generalize logarithmic mean , Neuman-Sándor , two Seiffert means and as an application of generalized trigonometric and hyperbolic functions. M…
On two new means of two arguments III
Barkat Ali Bhayo, József Sándor
In this paper authors establish the two sided inequalities for the following two new means As well as many other well known inequ…
Inequalities for means of two mean variables
Barkat Ali Bhayo, Li Yin
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 Powe…
On a function involving generalized complete - elliptic integrals
Barkat Ali Bhayo, Li Yin
Motivated by the work of Alzer and Richards \cite{ar}, here authors study the monotonicity and convexity properties of the function $$Δ_{p,q} (r) = \frac{{E_{p,q}(r) - \left( {r'}…
On the inequalities of Sándor mean
Barkat Ali Bhayo
In this paper author establishes the two sided inequalities for the following Sándor means and other related means.
On generalized complete -elliptic integrals
Barkat Ali Bhayo, Nihat Gökhan Göğüş, Li Yin
In this paper, authors study the generalized complete -elliptic integrals of the first and the second kind as an application of generalized trigonometric functions with two…
On some inequalities for the identric, logarithmic and related means
József Sándor, Barkat Ali Bhayo
We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.
New trigonometric and hyperbolic inequalities
Barkat Ali Bhayo, Riku Klén, József Sándor
The aim of this paper is to prove new trigonometric and hyperbolic inequalities, which constitute among others refinements or analogs of famous Cusa-Huygens, Wu-Srivastava, and rel…
On the generalized convexity and concavity
Barkat Ali Bhayo, Li Yin
In this paper, authors study the convexity and concavity properties of real-valued function with respect to the classical means, and prove a conjecture posed by Bruce Ebanks in \ci…
On classical inequalities of trigonometric and hyperbolic functions
Barkat Ali Bhayo, Jozsef Sandor
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 function…
Logarithmic mean inequality for generalized trigonometric and hyperbolic functions
Barkat Ali Bhayo, Li Yin
In this paper we study the convexity and concavity properties of generalized trigonometric and hyperbolic functions in case of Logarithmic mean.
On the conjecture of generalized trigonometric and hyperbolic functions
Barkat Ali Bhayo, Li Yin
In this paper we prove the conjecture posed by Klén et al. in \cite{kvz}, and give optimal inequalities for generalized trigonometric and hyperbolic functions.
Functional inequalities for generalized inverse trigonometric and hyperbolic functions
Árpád Baricz, Barkat Ali Bhayo, Tibor K. Pogány
Various miscellaneous functional inequalities are deduced for the so-called generalized inverse trigonometric and hyperbolic functions. For instance, functional inequalities for su…
Turán type inequalities for generalized inverse trigonometric functions
Árpád Baricz, Barkat Ali Bhayo, Matti Vuorinen
In this paper we study the inverse of the eigenfunction of the one-dimensional -Laplace operator and its dependence on the parameter , and we present a Turán type in…
Convexity properties of generalized trigonometric and hyperbolic functions
Árpád Baricz, Barkat Ali Bhayo, Riku Klén
We study the power mean inequality of the generalized trigonometric and hyperbolic functions with two parameters. The generalized -trigonometric and -trigonometric funct…
On functional inequalities for the psi function
Barkat Ali Bhayo
In this note we study the monotonicity of the function . We also give the several inequalities involving the psi function, whic is the logarithmic…
Power mean inequality of generalized trigonometric functions
Barkat Ali Bhayo, Matti Vuorinen
We study the convexity/concavity properties of the generalized -trigonometric functions in the sense of P. Lindqvist with respect to the power means.
On generalized complete elliptic integrals and modular functions
B. A. Bhayo, M. Vuorinen
This paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.
Inequalities for eigenfunctions of the -Laplacian
Barkat Ali Bhayo, Matti Vuorinen
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional -Laplace operator, the functions, and prove several inequalities for these and …
Norm inequalities for vector functions
Barkat A. Bhayo, Vladimir Božin, David Kalaj +1
We study vector functions of into itself, which are of the form where is a continuous function and call thes…
On Mori's theorem for quasiconformal maps in the -space
Barkat Ali Bhayo, Matti Vuorinen
R. Fehlmann and M. Vuorinen proved in 1988 that Mori's constant for -quasiconformal maps of the unit ball in onto itself keeping the origin fixed satisfi…