Results 41 to 50 of about 339 (116)

Basis properties of p-exponential function of Lindqvist and Peetre type

, 2018
We show that a p -exponential function defined by the p -trigonometric functions of Lindqvist and Peetre form a basis in the Lebesgue space Lr ( (−1,1)n for any r ∈ (1,∞) , provided n 3 and p > pn 1 .
Özlem Baksi, P. Gurka, J. Lang, O. Méndez   +3 more
semanticscholar   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +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  

On generalized trigonometric functions and series of rational functions

, 2017
Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$.
Yu, Han
core   +1 more source

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

On transcendental numbers: new results and a little history

, 2017
Attempting to create a general framework for studying new results on transcendental numbers, this paper begins with a survey on transcendental numbers and transcendence, it then presents several properties of the transcendental numbers $e$ and $\pi$, and
Marcus, Solomon, Nichita, Florin F.
core   +2 more sources

Parametric Fourier and Mellin transforms of power-constructible functions

Forum of Mathematics, Sigma
We enrich the class of power-constructible functions, introduced in [CCRS23], to a class $\mathcal {C}^{\mathcal {M,F}}$ of algebras of functions which contains all complex powers of subanalytic functions and their parametric Mellin and Fourier ...
Raf Cluckers, Georges Comte, Tamara Servi   +2 more
doaj   +1 more source

New inequalities and infinite product formulas for trigonometric and the lemniscate functions

, 2015
In this paper, we give a new approach to prove inequalities for the Schwab-Borchardt mean, the lemniscatic mean and the arithmetic geometric mean. Additionally, we apply these means to inequalities for trigonometric functions or the lemniscate functions ...
R. Nishimura
semanticscholar   +1 more source

Some inequalities and an application of exponential polynomials

, 2020
In the paper, with the help of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the inversion theorem for the Stirling numbers of the first and second kinds, the author presents an explicit formula and an identity for ...
Feng Qi (祁锋)
semanticscholar   +1 more source

A Sharp Double Inequality for the Inverse Tangent Function [PDF]

, 2013
The inverse tangent function can be bounded by different inequalities, for example by Shafer's inequality. In this publication, we propose a new sharp double inequality, consisting of a lower and an upper bound, for the inverse tangent function.
Alirezaei, Gholamreza
core   +1 more source