Results 31 to 40 of about 326 (116)

Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives

Fractional Differential Calculus, 2020
In this paper we establish some Ostrowski and trapezoid type inequalities for the Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives.
S. Dragomir
semanticscholar   +1 more source

On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals

, 2013
In this paper, three fundamental and important Riemann-Liouville fractional integral identities including a twice differentiable mapping are established. Secondly, some interesting Hermite-Hadamard type inequalities involving Riemann-Liouville fractional
Yuruo Zhang, Jinrong Wang
semanticscholar   +1 more source

On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities

, 2010
Recently trigonometric inequalities of N. Cusa and C. Huygens (see, e.g., [9]), J. Wilker [11], and C. Huygens [4] have been discussed extensively in mathematical literature.
E. Neuman, J. Sándor
semanticscholar   +1 more source

An inequality for completely monotone functions [PDF]

arXiv, 2022
An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result, recently introduced by two of the present authors.
arxiv  

Turán-type inequaities for generalized polygamma function [PDF]

arXiv, 2022
Inspired by the work of C. Mortici [1] and A. Laforgia et. al [2] we have established some new Tur\'an-type inequalities for k-polygamma function and p-k-polygamma function.
arxiv  

A note on additivity of polygamma functions [PDF]

Filomat 29 (2015), no. 5, 1063--1066, 2009
In the note, the functions $\abs{\psi^{(i)}(e^x)}$ for $i\in\mathbb{N}$ are proved to be sub-additive on $(\ln\theta_i,\infty)$ and super-additive on $(-\infty,\ln\theta_i)$, where $\theta_i\in(0,1)$ is the unique root of equation $2\abs{\psi^{(i)}(\theta)}=\abs{\psi^{(i)}(\theta^2)}$.
arxiv   +1 more source

SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS

, 2015
Some new results related of the left-hand side of the Hermite-Hadamard type inequal- ities for the class of mappings whose second derivatives at certain powers are s convex in the second sense are established.
M. Sarıkaya, Mehmet Ey, Up Kiris
semanticscholar   +1 more source

Sharp lower and upper bounds for the q-gamma function

, 2020
This paper is devoted to provide sharp bounds for the q -gamma function from below and above for all q > 0 by means of investigating the monotonicity property to analytical functions involving logarithm q -gamma function.
A. Salem
semanticscholar   +1 more source

Best bounds for the Lambert W functions

Journal of Mathematical Inequalities, 2020
This paper is devoted to provide tractable closed-form upper and lower bounds for the two real branches of the Lambert W function W(z(t)) for all positive real variable t where z(t) is increasing function on (0,∞) and bounded by zero and −e−1 ...
A. Salem
semanticscholar   +1 more source

On Viazovska's modular form inequalities [PDF]

arXiv, 2023
Viazovska proved that the $E_8$ lattice sphere packing is the densest sphere packing in 8 dimensions. Her proof relies on two inequalities between functions defined in terms of modular and quasimodular forms. We give a direct proof of these inequalities that does not rely on computer calculations.
arxiv