Results 81 to 90 of about 360,754 (261)
Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
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]
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]
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
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
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]
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
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
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]
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
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