Results 81 to 90 of about 360,754 (261)

Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral

open access: yesRevista Integración, 2018
In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H.   +1 more
doaj  

A few equalities involving integrals of the logarithm of the Riemann Zeta-function and equivalent to the Riemann hypothesis [PDF]

open access: yesarXiv, 2008
Using a generalized Littlewood theorem concerning integrals of the logarithm of analytical functions, we have established a few equalities involving integrals of the logarithm of the Riemann Zeta-function and have rigorously proven that they are equivalent to the Riemann hypothesis.
arxiv  

On a comparison of Darboux and Riemann integrals in constructive analysis [PDF]

open access: yesarXiv, 2009
An example of constructive (in A.A.Markov's sense) real-valued function, which is integrable by Riemann, but is not integrable by Darboux, is constructed.
arxiv  

Riemann and Riemann-type Integration in Banach Spaces

open access: yesReal Analysis Exchange, 2014
Riemann, Riemann-Dunford, Riemann-Pettis and Darboux integrable functions with values in a Banach space and Riemann-Gelfand integrable functions with values in the dual of a Banach space are studied in the light of the work of Graves, Alexiewicz and Orlicz, and Gordon.
Ali, Sk. Jaker, Mondal, Pratikshan
openaire   +3 more sources

Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws

open access: yesمجلة المختار للعلوم, 2017
The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
doaj   +1 more source

Deleting Items and Disturbing Mesh Theorems for Riemann Definite Integral and Their Applications [PDF]

open access: yesarXiv, 2017
Based on the definition of Riemann definite integral,deleting items and disturbing mesh theorems on Riemann sums are given. After deleting some items or disturbing the mesh of partition, the limit of Riemann sums still converges to Riemann definite integral under specific conditions.
arxiv  

On Riemann Integral Quasicontinuity

open access: yesReal Analysis Exchange, 2006
A function $f:\mathR ^n \to \mathR$ satisfies condition $(Q_{r,i}(x))$ (resp. ($Q_{r,s}(x))$, [$Q_{r,o}(x)$]) at a point $x$ if for each real $r > 0$ and for each set $U$ containing $x$ and belonging to Euclidean topology in $\mathR ^n$ (resp. to the strong density topology [to the ordinary density topology]) there is a regular domain $I$ such that ...
openaire   +3 more sources

SDF‐Guided Point Cloud Generation Framework for Mesh‐Free CFD

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
This paper presents different methods for generating clouds of points around objects for use with meshless methods in computational fluid dynamics. This image shows the cloud generated around the original ROBIN body. ABSTRACT Meshing is a bottleneck of CFD workflows, especially when complex geometries are considered.
Tao Zhang, George N. Barakos
wiley   +1 more source

An integral Riemann-Roch theorem for surface bundles [PDF]

open access: yesarXiv, 2009
This paper proves an integral version of the Riemann-Roch theorem for surface bundles, comparing the standard cohomology classes with the cohomology classes coming from the symplectic group.
arxiv  

Non‐Hydrostatic Model for Simulating Moving Bottom‐Generated Waves: A Shallow Water Extension With Quadratic Vertical Pressure Profile

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
In this article, we derive a non‐hydrostatic extension to the SWE to solve bottom‐generated waves along with its pressure relation. This relation is built on a linear vertical velocity assumption, leading us to a quadratic pressure profile, where we alternatively write it so that we can solve it by a projection method without ambiguity due to the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

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