Absolute monotonicity of a function involving the exponential function
, 2014 In the paper, the author verifies the absolute monotonicity of a function involving the exponential function. Keywords: absolute monotonicity; absolutely monotonic function; completely monotonic function; completely monotonic degree; exponential function
Feng Qi (祁锋)
semanticscholar +1 more source
New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]
, 2007 In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core
The Bochner integral and the weak property (N)
, 2014 The Russian mathematician N. N. Luzin recognized the importance of the condition which now bears his name and is also referred to as property (N). We present descriptive characterizations of Bochner integral in terms of the weak property (N). Mathematics
Besnik Bush Memetaj
semanticscholar +1 more source
Trace inequalities and spectral shift
, 2009 We derive monotonicity and convexity inequalities for traces of operator functions defined on self-adjoint elements of a semi-finite von Neumann algebra.
A. Skripka
semanticscholar +1 more source
Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]
Heliyon, 2023 Mahmood A +6 more
europepmc +1 more source
On convex functions of higher order
, 2008 Based on J. L. W. V. Jensen’s concept of convex functions as well on its generalization byE. M. Wright and related to T. Popoviciu’s convexity notions, higher-order convexity properties of real functions are introduced and surveyed.
semanticscholar +1 more source
Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]
Rev Mat Complut, 2022 Yang ZH, Tian JF.
europepmc +1 more source
On the complete monotonicity of quotient of gamma functions
, 2012 In this paper, we concern with a conjecture involving the ratio of two gamma functions posed by Qi, Guo and Chen [Math. Inequal. Appl. 9(3)(2006), 427-436]. We also generalize a result of Qi [Theorem 2, J. Comput. Appl. Math.
Yichao Chen, T. Mansour, Qian Zou
semanticscholar +1 more source
A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum [PDF]
, 2006 In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sum are founded, and an equivalent relation between the complete monotonicity and one of the class ...
Qi, Feng
core
Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation. [PDF]
Results Math, 2022 Jiménez-Garrido J, Sanz J, Schindl G.
europepmc +1 more source