Results 61 to 70 of about 5,487,190 (196)

Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo   +3 more
wiley   +1 more source

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

open access: yesمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +1 more source

Output Gap Uncertainty, Sovereign Risk Premia and the Contingent Importance of the Bond Vigilantes

open access: yesMetroeconomica, Volume 77, Issue 4, Page 450-469, November 2026.
ABSTRACT This paper investigates the implications of output gap uncertainty for the conduct of fiscal policy using a small‐scale macroeconomic model with boundedly rational agents. Specifically, agents use an adaptive updating mechanism to approximate the unobservable potential output that suffers, similarly to the Hodrick and Prescott (1997) filter ...
Christian R. Proaño, Jonas Dix
wiley   +1 more source

Universality Theorems for Some Composite Functions

open access: yesMathematical Modelling and Analysis, 2016
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis   +3 more
doaj   +1 more source

Pseudo, or Not? Neo‐Goodwinian Growth Cycles With Financial Linkages

open access: yesMetroeconomica, Volume 77, Issue 4, Page 422-437, November 2026.
ABSTRACT A profit‐led Goodwin mechanism generates the observed counterclockwise activity–labor share cycle. Introducing a financial linkage can reproduce this pattern even when demand is not profit‐led. This paper extends neo‐Goodwinian theory by incorporating the valuation ratio into a four‐dimensional model.
Rudiger von Arnim, Luis Felipe Eick
wiley   +1 more source

Integral representations of the hurwitz zeta-function. [PDF]

open access: yes, 2017
Integral representations of the Hurwitz zeta ...
Požaricka, Lilija,
core  

Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values

open access: yesJournal of Mathematics, 2021
We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
doaj   +1 more source

Sharp Inequalities for the Hurwitz Zeta Function

open access: yesRocky Mountain Journal of Mathematics, 2005
Let \[ Q_{n,m}(p,a)=\left ({\zeta(p,a) - \sum_{\nu=0}^{n}(\nu+a)^{-p}}\over{\zeta(p,a) - \sum_{\nu=0}^{m}(\nu+a)^{-p}}\right )^{1\over{p-1}}, \] where \(m,n\in {\mathbb Z}\) with \(m>n \geq 0, p>1, a>0\) and \(\zeta(s,a) (s\in{\mathbb C},a>0)\) denotes the Hurwitz zeta function.
openaire   +2 more sources

Tropical Donagi theorem

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley   +1 more source

A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II

open access: yesMathematical Modelling and Analysis, 2017
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė   +2 more
doaj   +1 more source

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