Results 1 to 10 of about 229 (122)
On a Non-Newtonian Calculus of Variations
Axioms, 2021 The calculus of variations is a field of mathematical analysis born in 1687 with Newton’s problem of minimal resistance, which is concerned with the maxima or minima of integral functionals.
Delfim F. M. Torres
doaj +1 more source
Multiplicative Concavity of the Integral of Multiplicatively Concave Functions [PDF]
Journal of Inequalities and Applications, 2010 A real-valued function \(f:I\subseteq {\mathbb R} \rightarrow (0,\infty)\) is said to be multiplicatively convex if \[ f(x^{1/2}y^{1/2}) \leq f^{1/2}(x)f^{1/2}(y) \] for all \(x,y \in I\). And \(f\) is called multiplicatively concave if \(1/f\) is multiplicatively convex. Multiplicatively convexity on \(E\subseteq {\mathbb R}_+^2\) is defined similarly.
Yu-Ming Chu, Xiao-Ming Zhang
openaire +4 more sources
Euler’s integrals and multiple sine functions [PDF]
Proceedings of the American Mathematical Society, 2004 We show that Euler’s famous integrals whose integrands contain the logarithm of the sine function are expressed via multiple sine functions.
Koyama Shin-ya, Kurokawa Nobushige
openaire +2 more sources
The Multiple Gamma-Functions and the Log-Gamma Integrals [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 In this paper, which is a companion paper to [W], starting from the Euler integral which appears in a generalization of Jensen’s formula, we shall give a closed form for the integral of log . This enables us to locate the genesis of two new functions and considered by Srivastava and Choi. We consider the closely related functionA(a)and the Hurwitz zeta
X.-H. Wang, Y.-L. Lu
openaire +3 more sources
A type of multiple integral with log-gamma function [PDF]
Involve, a Journal of Mathematics, 2015 In this paper, we study the multiple integral $ \displaystyle I= \int_0^1 \int_0^1 \dots \int_0^1 f(x_1+x_2 + \dots +x_n) \, dx_1 \, dx_2 \, \dots \, dx_n$. A general formula of $I$ is presented. As an application, the integral $I$ with $f(x)= \log Γ(x)$ is evaluated. We show that the values of $I$ share a common formula for all $n \in \mathbb{N}$. The
Yan, Duokui +2 more
openaire +3 more sources
Jackson's integral of multiple Hurwitz–Lerch zeta functions and multiple gamma functions [PDF]
Journal of Mathematical Analysis and Applications, 2018 Using the Jackson integral, we obtain the $q$-integral analogue of the Raabe type formulas for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize $q$-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [N. Kurokawa, K.
Su Hu, Daeyeoul Kim, Min-Soo Kim
openaire +2 more sources
Multiple Functions of Rad9 for Preserving Genomic Integrity [PDF]
Current Genomics, 2006 DNA-damage checkpoints sense and respond to genomic damage. Human Rad9 (hRad9), an evolutionarily conserved gene with multiple functions for preserving genomic integrity, plays multiple roles in fundamental biological processes, including the regulation of the DNA damage response, cell cycle checkpoint control, DNA repair, apoptosis, transcriptional ...
Kazuhiro, Ishikawa +3 more
openaire +2 more sources
Integrating multiple networks for protein function prediction [PDF]
BMC Systems Biology, 2015 High throughput techniques produce multiple functional association networks. Integrating these networks can enhance the accuracy of protein function prediction. Many algorithms have been introduced to generate a composite network, which is obtained as a weighted sum of individual networks.
Guo-Xian Yu +3 more
openaire +2 more sources
The hypocretins/orexins: integrators of multiple physiological functions [PDF]
British Journal of Pharmacology, 2013 The hypocretins (Hcrts), also known as orexins, are two peptides derived from a single precursor produced in the posterior lateral hypothalamus. Over the past decade, the orexin system has been associated with numerous physiological functions, including sleep/arousal, energy homeostasis, endocrine, visceral functions and pathological states, such as ...
Jingcheng, Li, Zhian, Hu, Luis, de Lecea
openaire +2 more sources
Functional integral approach for multiplicative stochastic processes [PDF]
Physical Review E, 2010 We present a functional formalism to derive a generating functional for correlation functions of a multiplicative stochastic process represented by a Langevin equation. We deduce a path integral over a set of fermionic and bosonic variables without performing any time discretization.
Arenas, Zochil González +1 more
openaire +3 more sources