Results 41 to 50 of about 7,667 (234)

Moments of the Riemann zeta function at its local extrema

Mathematika, Volume 71, Issue 4, October 2025.
Abstract Conrey, Ghosh and Gonek studied the first moment of the derivative of the Riemann zeta function evaluated at the non‐trivial zeros of the zeta function, resolving a problem known as Shanks' conjecture. Conrey and Ghosh studied the second moment of the Riemann zeta function evaluated at its local extrema along the critical line to leading order.
Andrew Pearce‐Crump
wiley   +1 more source

Approximating the Riemann-Stieltjes Integral via Some Moments of the Integrand [PDF]

, 2007
Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments of the integrand are given. Applications for p-convex functions and in approximating the Finite Foureir Transform are pointed out as ...
Cerone, Pietro, Dragomir, Sever S
core  

Pathwise convergence of the Euler scheme for rough and stochastic differential equations

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract The convergence of the first‐order Euler scheme and an approximative variant thereof, along with convergence rates, are established for rough differential equations driven by càdlàg paths satisfying a suitable criterion, namely the so‐called Property (RIE), along time discretizations with vanishing mesh size. This property is then verified for
Andrew L. Allan, Anna P. Kwossek, Chong Liu, David J. Prömel   +3 more
wiley   +1 more source

Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications [PDF]

, 2008
Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also ...
Cerone, Pietro, Dragomir, Sever S
core  

Rough PDEs for Local Stochastic Volatility Models

Mathematical Finance, Volume 35, Issue 3, Page 661-681, July 2025.
ABSTRACT In this work, we introduce a novel pricing methodology in general, possibly non‐Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time‐inhomogeneous Markov process. Using tools from rough path theory, we describe how to precisely
Peter Bank, Christian Bayer, Peter K. Friz, Luca Pelizzari   +3 more
wiley   +1 more source

A Stratonovich integral for anticipating processes

Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7695-7705, 15 May 2025.
A stochastic integral for anticipating integrands was introduced by Ayed and Kuo in 2008. Riemann–Stieltjes sums were considered, where the adapted part of the integrand was evaluated at the left endpoints of the subintervals, while the instantly independent part was evaluated at the right endpoints.
Marc Jornet
wiley   +1 more source

Sequential Detection of Three-Dimensional Signals under Dependent Noise

, 2017
We study detection methods for multivariable signals under dependent noise. The main focus is on three-dimensional signals, i.e. on signals in the space-time domain. Examples for such signals are multifaceted. They include geographic and climatic data as
Prause, Annabel, Steland, Ansgar
core   +1 more source

A Deterministic Model of the Gamma Radiation at the Soil Surface–Including Soil Moisture Correction for Better Radiation Data Exploitation in Soil Mapping

Journal of Plant Nutrition and Soil Science, Volume 188, Issue 2, Page 299-311, April 2025.
ABSTRACT Background During the last decades, gamma spectrometry data have increasingly been used in soil science, for example, for mapping. However, the full data potential could not be exploited due to certain constraints, among which the insufficient representation of attenuating materials (in particular, water) in correction algorithms is the most ...
Ludger Herrmann, Georg Zimmermann
wiley   +1 more source

Existence and Attractivity Results for Coupled Systems of Nonlinear Volterra–Stieltjes Multidelay Fractional Partial Integral Equations

Abstract and Applied Analysis, 2018
We are concerned with some existence and attractivity results of a coupled fractional Riemann–Liouville–Volterra–Stieltjes multidelay partial integral system. We prove the existence of solutions using Schauder’s fixed point theorem; then we show that the
Saïd Abbas, Mouffak Benchohra, Naima Hamidi, Gaston N’Guérékata   +3 more
doaj   +1 more source

Aturan Titik Tengah \textit{Double} untuk Mengaproksimasi Integral Riemann-Stieltjes

Jurnal Matematika Integratif, 2023
Aturan titik tengah double dimodifikasi untuk mengaproksimasi integral RiemannStieltjes. Koefisien dari metode ini didapat dengan menyelesaikannya sistem persamaan nonlinear yang didapat dari penerapan fungsi monomial sampai pangkat tertentu. Selanjutnya
Rike Marjulisa, Imran M
doaj   +1 more source