Results 31 to 40 of about 466 (100)
Generalizations of Hölder′s inequality
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 1, Page 7-10, 2001., 2001 Some generalized Hölder′s inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
wiley +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
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
A completely monotonic function involving the tri- and tetra-gamma functions
, 2010 The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
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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
Bounds for the Ratios of Differences of Power Means in Two Arguments
, 2010 Using methods from classical analysis, sharp bounds for the ratio of differences of Power Means are obtained. Our results generalize and extend previous ones due to S. Wu(2005), and to S. Wu and L.
Kouba, Omran
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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
Bounds for the ratio of two gamma functions: from Wendel’s asymptotic relation to Elezović-Giordano-Pečarić’s theorem [PDF]
, 2009 In the expository review and survey paper dealing with bounds for the ratio of two gamma functions, along one of the main lines of bounding the ratio of two gamma functions, the authors look back and analyze some known results, including Wendel’s ...
Feng Qi (祁锋), Qiu-Ming Luo
semanticscholar +1 more source
Extension of complete monotonicity results involving the digamma function
Moroccan Journal of Pure and Applied Analysis, 2018 By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
doaj +1 more source