Results 71 to 80 of about 460 (101)

Complete monotonicity properties of functions involving q-gamma and q-digamma functions

open access: yes, 2014
In this paper, the q -analogue of the Stirling formula (the Moak formula) for the q gamma function is exploited to prove the complete monotonicity property of functions involving the q -gamma and the q -digamma functions.
A. Salem
semanticscholar   +1 more source

New inequalities for the volume of the unit ball in ℝ^n

open access: yes, 2017
Many interesting monotonicity properties and inequalities for the volume of the unit ball in Rn have been established. The main object of this paper is to establish new inequalities for the volume of the unit ball in Rn .
Tao Ban, Chao Chen
semanticscholar   +1 more source

Some new Hermite-Hadamard-type inequalities for strongly h-convex functions on co-ordinates

open access: yesOpen Mathematics
In this article, we study some Hermite-Hadamard-type inequalities for strongly hh-convex functions on co-ordinates in Rn{{\mathbb{R}}}^{n}, which extend some known results. Some mappings connected with these inequalities and related applications are also
Hong Weizhi   +3 more
doaj   +1 more source

Inequalities for weighted sums of powers and their applications

open access: yes, 2012
Two inequalities for weighted sums of powers are established. Applications to Jacobian elliptic functions and Legendre’s elliptic integrals of the first kind are presented.
E. Neuman
semanticscholar   +1 more source

New inequalities for hyperbolic functions and their applications

open access: yes, 2012
In this paper, we obtain some new inequalities in the exponential form for the whole of the triples about the four functions {1,(sinht)/t,exp(tcotht−1),cosht}.
Ling Zhu
semanticscholar   +1 more source

Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]

open access: yesResults Phys, 2023
Chu YM   +6 more
europepmc   +1 more source

Sharp bounds for the arithmetic-geometric mean

open access: yes, 2014
In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.MSC:26E60, 26D07, 33E05.
Zhen-Hang Yang, Ying-Qing Song, Y. Chu
semanticscholar   +1 more source

Two double inequalities for k-gamma and k-Riemann zeta functions

open access: yes, 2014
By using methods in the theory of majorization, a double inequality for the gamma function is extended to the k-gamma function and the k-Riemann zeta function.MSC:33B15, 26D07, 26B25.
Jing Zhang, Huan-Nan Shi
semanticscholar   +1 more source

On Hermite-Hadamard type inequalities for F-convex function

open access: yesMiskolc Mathematical Notes, 2019
In this study, we firstly give some properties the family F and F -convex function which are defined by B. Samet. Then, we obtain some midpoint inequalities for differentiable function. Moreover, we establish some midpoint and trapezoid type inequalities
H. Budak, T. Tunç, M. Sarıkaya
semanticscholar   +1 more source

An alternative note on the Schur-convexity of the extended mean values

open access: yes, 2006
The Schur-convex and Schur-concave properties with (x, y) in (0,∞) × (0,∞) for fixed (r, s) of the extended mean values E(r, s; x, y) are researched again, some errors in [F. Qi, J. Sandor, S. S. Dragomir, and A. Sofo, Notes on the Schur-convexity of the
Huan-Nan Shi   +2 more
semanticscholar   +1 more source

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