Results 11 to 20 of about 697 (145)

Estimates for evolutionary partial differential equations in classical function spaces

open access: yesForum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro   +3 more
doaj   +2 more sources

On integration with respect to filter

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023
This article is devoted to the study of one generalization of the Riemann integral. Namely, in the paper, it was observed that the classical definition of the Riemann integral over a finite segment as a limit of integral sums, when the diameter of the ...
Dmytro Seliutin
doaj   +1 more source

Symmetric Spaces of Measurable Functions: Old and New Advances

open access: yesСовременная математика: Фундаментальные направления, 2020
The article is an extensive review in the theory of symmetric spaces of measurable functions. It contains a number of new (recent) and old (known) results in this field.
M. A. Muratov, B.-Z. A. Rubshtein
doaj   +1 more source

On the existence of representer theorems in Banach spaces

open access: yes, 2021
We consider general regularisation and regularised interpolation problems for learning parameter vectors from data. In particular in Hilbert spaces regularisation methods have been applied very successfully, largely due to the well known representer ...
Schlegel, Kevin
core   +1 more source

Bounds for the Normalized Jensen Functional [PDF]

open access: yes, 2006
New inequalities for the general case of convex functions defined on linear spaces which improve the famous Jensen's inequality are established. Particular instances in the case of normed spaces and for complex and real n-tuples are given. Refinements of
Dragomir, Sever S
core   +1 more source

Euclidean structures and operator theory in Banach spaces

open access: yes, 2023
We present a general method to extend results on Hilbert space operators to the Banach space setting by representing certain sets of Banach space operators $\Gamma$ on a Hilbert space.
Lutz Weis   +5 more
core   +1 more source

Robust SVM Optimization in Banach spaces

open access: yes, 2022
We address the issue of binary classification in Banach spaces in presence of uncertainty. We show that a number of results from classical support vector machines theory can be appropriately generalised to their robust counterpart in Banach spaces. These
Couellan, Nicolas, Sbihi, Mohammed
core   +1 more source

Monotonicity in Banach function spaces [PDF]

open access: yes, 2006
summary:This paper is an informal presentation of material from [28]–[34]. The monotone envelopes of a function, including the level function, are introduced and their properties are studied. Applications to norm inequalities are given. The down space of
Sinnamon, Gord
core   +1 more source

Factorisation in stopping-time Banach spaces: identifying unique maximal ideals

open access: yes, 2022
Stopping-time Banach spaces is a collective term for the class of spaces of eventually null integrable processes that are defined in terms of the behaviour of the stopping times with respect to some fixed filtration.
Kania, Tomasz, Lechner, Richard
core   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

open access: yesپژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Home - About - Disclaimer - Privacy