2 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
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 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 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.
Note on Some Limit Properties of Trigonometric Series of A Certain Type
Yin Li
In this note, we study a certain class of trigonometric series which is important in many problems. An unproved statement in Zygmund's book [5] will be proved and generalized. Furt…