Zobrazeno 1 - 10
of 26 076
pro vyhledávání: '"Monotonic function"'
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 378-392 (2024)
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 pr
Externí odkaz:
https://doaj.org/article/3cd5502b78df464ab8af78bf142af249
Autor:
Feng Qi
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2859 (2024)
In this work, the author reviews the origination of normalized tails of the Maclaurin power series expansions of infinitely differentiable functions, presents that the ratio between two normalized tails of the Maclaurin power series expansion of the
Externí odkaz:
https://doaj.org/article/2a9ca15e75134a3999e0f7fa83ebcbec
Autor:
Xue-Feng Han, Chao-Ping Chen
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-14 (2023)
Abstract Let Ω n = π n / 2 / Γ ( n 2 + 1 ) $\Omega _{n}=\pi ^{n/2}/\Gamma (\frac{n}{2}+1)$ ( n ∈ N $n \in \mathbb{N}$ ) denote the volume of the unit ball in R n $\mathbb{R}^{n}$ . In this paper, the logarithmically complete monotonicity of a fu
Externí odkaz:
https://doaj.org/article/be802f5c6e13422da5ef2543a493f45f
Autor:
Xifeng Wang, Senlin Guo
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 9832-9839 (2023)
In this article, we establish some necessary conditions for sequences to be minimal completely monotonic. We also present some properties for completely monotonic sequences.
Externí odkaz:
https://doaj.org/article/cef7905442e1467081239f6f8a0b9b0f
Autor:
Mansour Mahmoud, Hanan Almuashi
Publikováno v:
Symmetry, Vol 16, Iss 2, p 150 (2024)
In this paper, a new approximation formula for the gamma function and some of its symmetric inequalities are established. We prove the superiority of our results over Yang and Tian’s approximation formula for the gamma function of order v−9.
Externí odkaz:
https://doaj.org/article/6f75a8a050184d4bb7d2e94307a64b2d
Akademický článek
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Autor:
Feng Qi
Publikováno v:
AIMS Mathematics, Vol 5, Iss 4, Pp 3391-3407 (2020)
Let $\psi(x)$ be the digamma function. In the paper, the author reviews backgrounds and motivations to compute complete monotonic degree of the function $\Psi(x)=[\psi'(x)]^2+\psi''(x)$ with respect to $x\in(0,\infty)$, confirms that completely monot
Externí odkaz:
https://doaj.org/article/c544c46ffb484b2eb7ea9666d5c1ba0c
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract In the present paper, we introduce sharp upper and lower bounds to the ratio of two q-gamma functions Γ q ( x + 1 ) / Γ q ( x + s ) ${\Gamma }_{q}(x+1)/{\Gamma }_{q}(x+s)$ for all real number s and 0 < q ≠ 1 $0< q\neq1$ in terms of the q
Externí odkaz:
https://doaj.org/article/c48c69f9fcc24ab3a952f7ad02e6fdb2
Publikováno v:
Fractal and Fractional, Vol 7, Iss 5, p 397 (2023)
In the paper, the authors find a sufficient and necessary condition for the power-exponential function 1+1xαx to be a Bernstein function, derive closed-form formulas for the nth derivatives of the power-exponential functions 1+1xαx and (1+x)α/x, a
Externí odkaz:
https://doaj.org/article/00c743356f88496f87f943972ec6bbe2
Autor:
Feng Qi
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 28, Iss 1, Pp 314-318 (2021)
In the paper, the author presents bounds for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. This result partially confirms one in a series of conjectures on completely monotonic degrees of remainders
Externí odkaz:
https://doaj.org/article/76d1605609d44b3e9855d507205435eb