Results 101 to 110 of about 360,754 (261)
Abstract Let h$h$ be a fixed non‐zero integer. For every t∈R+$t\in \mathbb {R}_+$ and every prime p$p$, consider the angles between rays from an observer located at the point (−tJp2,0)$(-tJ_p^2,0)$ on the real axis toward the set of all integral solutions (x,y)$(x,y)$ of the equation y−1−x−1≡hmodp$y^{-1}-x^{-1}\equiv h \left(\mathrm{ mod\;}p\right)$ in
Jack Anderson+3 more
wiley +1 more source
On Henstock-Dunford and Henstock-Pettis integrals
We give the Riemann-type extensions of Dunford integral and Pettis integral, Henstock-Dunford integral and Henstock-Pettis integral. We discuss the relationships between the Henstock-Dunford integral and Dunford integral, Henstock-Pettis integral and ...
Ye Guoju, An Tianqing
doaj +1 more source
Cone spherical metrics and stable vector bundles
Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. A cone spherical metric is called irreducible if each developing map of the metric does not have monodromy lying
Li, Lingguang, Song, Jijian, Xu, Bin
core
THE GENERALIZED RIEMANN-STIELTJES INTEGRAL [PDF]
We define a generalized Riemann-Stieltjes integral with respect to charges (i.e., additive continuous functions on bounded \(BV\) sets), and study the linear space of all functions that are integrable with respect to every charge.
openaire +3 more sources
On Solution Representation of Generalized Abel Integral Equation
An explicit representation for solution of the generalized Abel integral equation , where is the Riemann-Liouville fractional integral, in terms of the Wright function, is constructed.
Arsen Pskhu
doaj +1 more source
Approximative Theorem of Incomplete Riemann-Stieltjes Sum of Stochastic Integral [PDF]
The approximative theorems of incomplete Riemann-Stieltjes sums of Ito stochastic integral, mean square integral and Stratonovich stochastic integral with respect to Brownian motion are investigated. Some sufficient conditions of incomplete Riemann-Stieltjes sums approaching stochastic integral are developed, which establish the alternative ways to ...
arxiv
Characterization of Besov spaces with dominating mixed smoothness by differences
Abstract Besov spaces with dominating mixed smoothness, on the product of the real line and the torus as well as bounded domains, are studied. A characterization of these function spaces in terms of differences is provided. Applications to random fields, like Gaussian fields and the stochastic heat equation, are discussed, based on a Kolmogorov ...
Paul Nikolaev+2 more
wiley +1 more source
On New Inequalities via Riemann-Liouville Fractional Integration
We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities.
Mehmet Zeki Sarikaya, Hasan Ogunmez
doaj +1 more source
A Probabilistic Proof for Representations of the Riemann Zeta Function
In this paper, we present a different proof of the well known recurrence formula for the Riemann zeta function at positive even integers, the integral representations of the Riemann zeta function at positive integers and at fractional points by means of ...
Jiamei Liu, Yuxia Huang, Chuancun Yin
doaj +1 more source
SteelKGAT enhances prediction accuracy and interpretability. Notably, this work represents the first application of knowledge graph attention neural networks to address the cold‐start problem in steel rolling production. Abstract In the rolling production of steel, predicting the performance of new products is challenging due to the low variety of data
Ziye Zhou+7 more
wiley +1 more source