12 citations · 14 across the 4 of their papers we have counts for
6 papers
Classical exponential bounds for p-generalized circular and hyperbolic functions
Yogesh J. Bagul, Bharti O. Fande
In this article, we obtain exponential bounds for the generalized circular and hyperbolic functions with one parameter p. Our results are natural generalizations of some existing r…
Stringent bounds for the non-zero Bernoulli numbers
Yogesh J. Bagul
We present new sharper lower and upper bounds for the non-zero Bernoulli numbers using Euler's formula for the Riemann zeta function. In particular, we determine the best possible…
Alternative proofs of Shafer's inequality for inverse hyperbolic tangent
Yogesh J. Bagul, Ramkrishna M. Dhaigude
We point out that a concise proof of Theorem 2 in the article, 'On a quadratic estimate of Shafer' by L. Zhu contains a small mistake. Correcting this mistake and giving alternativ…
Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions
Yogesh J. Bagul, Ramkrishna M. Dhaigude, Barkat A. Bhayo +1
Motivated by the work of J. Sándor [19], in this paper we establish a new Wilker type and Huygens type inequalities involving the trigonometric and hyperbolic functions. Moreover,…
New Refinements of Cusa-Huygens inequality
Christophe Chesneau, Marko Kostic, Branko Malesevic +2
In the paper, we refine and extend Cusa-Huygens inequality by simple functions. In particular, we determine sharp bounds for of the form …
Generalized inequalities for ratio functions of trigonometric and hyperbolic functions
Marko Kostić, Yogesh J. Bagul, Christophe Chesneau
The main aim of this note, which can be viewed as a certain addendum to the paper \cite{2019}, is to propose several generalized inequalities for the ratio functions of trigonometr…