Results 31 to 40 of about 446 (83)
On Viazovska's modular form inequalities [PDF]
arXiv, 2023 Viazovska proved that the $E_8$ lattice sphere packing is the densest sphere packing in 8 dimensions. Her proof relies on two inequalities between functions defined in terms of modular and quasimodular forms. We give a direct proof of these inequalities that does not rely on computer calculations.
arxiv
Integral Representations of Functional Series with Members Containing Jacobi Polynomials [PDF]
, 2012 MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi ...
Jankov, Dragana, Pogany, Tibor K.
core
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
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
Open MathematicsThis article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras +1 more
doaj +1 more source
An inequality involving the gamma and digamma functions [PDF]
Journal of Applied Analysis 22 (2016), no. 1, 49--54, 2011 In the paper, we establish an inequality involving the gamma and digamma functions and use it to prove the negativity and monotonicity of a function involving the gamma and digamma functions.
arxiv +1 more source
Monotonicity and logarithmic convexity relating to the volume of the unit ball
, 2010 Let $\Omega_n$ stand for the volume of the unit ball in $\mathbb{R}^n$ for $n\in\mathbb{N}$. In the present paper, we prove that the sequence $\Omega_{n}^{1/(n\ln n)}$ is logarithmically convex and that the sequence $\frac{\Omega_{n}^{1/(n\ln n ...
B.-N. Guo +18 more
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Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
Demonstratio MathematicaIn this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj +1 more source
Refinements of Some Recent Inequalities for Certain Special Functions
Annales Mathematicae Silesianae, 2019 The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed +1 more
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On Hadamard's Inequalities for the Convex Mappings Defined in Topological Groups and Connected Result [PDF]
, 2009 In this paper, we study the Hadamard’s inequality for midconvex and quasi-midconvex functions in topological groups.
Morassaei, Ali
core
, 2011 The paper describes a method to understand time required to vaccinate against viruses in total as well as subpopulations. As a demonstration, a model based estimate for time required to vaccinate H1N1 in India, given its administrative difficulties is ...
Annual Report 2009–2010 +13 more
core +1 more source