Results 91 to 100 of about 360,754 (261)
Some estimations on continuous random variables for (k, s) −fractional integral operators
In this work, we establish some new (k, s) −fractional integral inequalities of continuous random variables by using the (k, s) −Riemann-Liouville fractional integral operator.
Houas Mohamed
doaj +1 more source
Riemann integrability versus weak continuity [PDF]
In this paper we focus on the relation between Riemann integrability and weak continuity. A Banach space $X$ is said to have the weak Lebesgue property if every Riemann integrable function from $[0,1]$ into $X$ is weakly continuous almost everywhere.
arxiv
Lp-error Bounds Of Two And Three-point Quadrature Rules For Riemann-stieltjes Integrals [PDF]
In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are give n.
arxiv +1 more source
A Generalization of the Riemann-Lebesgue Theorem for Riemann Integrability
A classical theorem of Riemann and Lebesgue says that a bounded function defined on a compact interval is Riemann integrable if and only if it is continuous almost everywhere. In this note, we generalize their result and show that the difference between the upper and lower Riemann integrals of a not necessarily Riemann integrable function equals the ...
openaire +3 more sources
Abstract Brain‐Computer Interface (BCI) based on motor imagery (MI) has attracted great interest as a new rehabilitation method for stroke. Riemannian geometry‐based classification algorithms are widely used in MI‐BCI due to their strong robustness and generalization capabilities.
Xinwei Sun+8 more
wiley +1 more source
Extension and Application of Deleting Items and Disturbing Mesh Theorem of Riemann Integral [PDF]
The deleting items and disturbing mesh theorems of Riemann Integral are extended to multiple integral,line integral and surface integral respectively by constructing various of incomplete Riemann sum and non-Riemann sum sequences which converge to the same limit of classical Riemann sum.
arxiv
Abstract Excessive nutrient inputs have caused eutrophication of coastal ecosystems worldwide, triggering extensive algal blooms, oxygen‐depletion, and collapse of local fisheries. In the Baltic Sea, inputs of nitrogen (N) and phosphorus (P) have been significantly reduced since the 1980s, but the environmental state shows little to no signs of ...
Eva Ehrnsten+3 more
wiley +1 more source
On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj +1 more source
Aquatic heatwaves increase surface chlorophyll concentrations in experimental and reference lakes
Abstract Aquatic heatwaves are increasing in frequency, intensity, and duration worldwide. While increases in mean water temperatures are linked to enhanced phytoplankton biomass, it is unclear how heatwaves alter phytoplankton dynamics in lakes at an ecosystem scale.
Daniel K. Szydlowski+3 more
wiley +1 more source
Fractional Calculus for Non-Discrete Signed Measures
In this paper, we suggest a first-ever construction of fractional integral and differential operators based on signed measures including a vector-valued case. The study focuses on constructing the fractional power of the Riemann–Stieltjes integral with a
Vassili N. Kolokoltsov+1 more
doaj +1 more source