Results 111 to 120 of about 54,206 (225)
Product Inequalities and Log-Convexity Results for Struve Functions and Their First Derivative
Some inequalities for products of Struve functions Hν(x) when |ν|≤12 are established using their infinite product formula as well as the arithmetic–geometric mean inequality. When these results are combined with some previously established results in the
Dimitris A. Frantzis +1 more
doaj +1 more source
On the Weighted AM--GM Inequality and Refined Inequalities Between Arithmetic Functions
Let \( \varphi(n) \), \( \psi(n) \) and \( \sigma(n) \) denote the Euler totient function and the Dedekind function respectively. Using improved versions of the weighted AM-GM inequality, we obtain a series of sharp upper bounds for \( \varphi(n)^{\varphi(n)} \psi(n)^{\psi(n)} \quad \text{and} \quad \varphi(n)^{\psi(n)} \psi(n)^{\varphi(n ...
openaire +1 more source
Capital in Motion: Synthesizing the Circulation and Reproduction in a Multi‐Sector Growth Model
ABSTRACT This paper analyzes Capital in Motion (CIM) in a capitalist economy, based on Karl Marx's Capital, Volume 2. It examines the circuit of capital, distinguishing between stock and flow variables, and integrates a multi‐sector growth model that combines the circuit and turnover of capital with the reproduction scheme.
Takashi Satoh
wiley +1 more source
(m1, m2) Geometric Arithmetically Convex Functions and Related Inequalities
In this manuscript, we introduce and study the concept of $\\left( m_{1},m_{2}\\right) $-geometric arithmetically (GA) convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of $\\left( m_{1},m_{2 ...
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Confidence Intervals for Price Discovery
ABSTRACT This paper discusses asymptotic and bootstrap confidence intervals for multivariate permanent‐transitory decompositions of cointegrated vector autoregressive I(1) systems, with a focus on price discovery. Alternative estimators of the permanent components are compared in terms of efficiency also under separable linear restrictions on the ...
Heino Bohn Nielsen +2 more
wiley +1 more source
On an inequality for additive arithmetic functions [PDF]
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Re‐Imagining Regulatory Governance
ABSTRACT This paper invites the readers to rethink regulatory governance by examining how trust‐based and rule‐based governance interact. To do this, it uses analytical narratives of three fictional polities: “Trustland”, “Regland”, and “Concordia”. Each polity represents a stylized model of governance: Trustland is anchored in trust‐based governance ...
David Levi‐Faur
wiley +1 more source
Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σn to introduce a normalized ...
Jamal Salah
doaj +1 more source
Abstract This work addresses the critical issue of science literacy and science communication for scientists, researchers, officials, organizations, and the general public. Effective communication and trust between these groups are essential, particularly as the severity and scope of disasters continue to increase.
J. M. Trivedi +2 more
wiley +1 more source
Quantitative asymptotics for polynomial patterns in the primes
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen +2 more
wiley +1 more source

