Results 51 to 60 of about 471 (101)

Bounds for the logarithm of the Euler gamma function and its derivatives [PDF]

, 2015
We consider differences between $\log \Gamma(x)$ and truncations of certain classical asymptotic expansions in inverse powers of $x-\lambda$ whose coefficients are expressed in terms of Bernoulli polynomials $B_n(\lambda)$, and we obtain conditions under
Diamond, Harold G., Straub, Armin
core  

Ostrowski Type Fractional Integral Inequalities for S-Godunova-Levin Functions via Katugampola Fractional Integrals

, 2017
In this paper, we give some fractional integral inequalities of Ostrowski type for s-Godunova-Levin functions via Katugampola fractional integrals. We also deduce some known Ostrowski type fractional integral inequalities for Riemann-Liouville fractional
G. Farid, Udita N. Katugampola, Muhammad Usman   +2 more
semanticscholar   +1 more source

On Hadamard Type Inequalities Involving Several Kind of Convexity [PDF]

, 2011
In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.Comment: This paper is ...
Erhan Set, M. Emin Özdemir, S. Dragomirn, Sever   +3 more
core  

Two sharp inequalities for trigonometric and hyperbolic functions

, 2012
We determine the best positive constants p and q such that (sinhx/x)p < x/sinx < (sinhx/x)q. Some applications for Wilker’s type inequalities are given. Mathematics subject classification (2010): 26D05, 26D07, 26D99.
Chao Chen, J. Sándor
semanticscholar   +1 more source

Some new Hermite-Hadamard type inequalities for product of strongly h-convex functions on ellipsoids and balls

Open Mathematics
We establish novel Hermite-Hadamard-type inequalities for the product of two strongly hh-convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces.
Song Jinwen, Li Bufan, Ruan Jianmiao
doaj   +1 more source

On Hadamard's Inequalities for the Convex Mappings Defined in Topological Groups and Connected Result [PDF]

, 2009
In this paper, we study the Hadamard’s inequality for midconvex and quasi-midconvex functions in topological groups.
Morassaei, Ali
core  

A harmonic mean inequality for the polygamma function

, 2020
In this work, we discuss some new inequalities and a concavity property of the polygamma function ψ (n)(x) = dn dxn ψ(x) , x > 0 , where ψ(x) represents the digamma function (i.e. logarithmic derivative of the gamma function Γ(x) ).
Sourav Das, A. Swaminathan
semanticscholar   +1 more source

New extensions related to Fejér-type inequalities for GA-convex functions

Demonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

New conformable fractional integrals of Ostrowski type using new generalized (s, m, ϕ)-preinvex mappings

Moroccan Journal of Pure and Applied Analysis, 2017
In the present paper, the notion of new generalized (s, m, ϕ)-preinvex mapping is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving new generalized (s, m, ϕ)-preinvex mappings along ...
Kashuri Artion, Liko Rozana
doaj   +1 more source

Fractional Ostrowski type inequalities for functions of bounded variaton with two variables

Miskolc Mathematical Notes, 2020
We first establish some fractional equalities for functions of bounded variation with two variables. Then we derive some fractional Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. In addition, we give some
S. Erden, H. Budak, M. Sarıkaya
semanticscholar   +1 more source