Results 11 to 20 of about 697 (145)
Estimates for evolutionary partial differential equations in classical function spaces
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
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On integration with respect to filter
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
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Symmetric Spaces of Measurable Functions: Old and New Advances
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
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On the existence of representer theorems in Banach spaces
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
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Bounds for the Normalized Jensen Functional [PDF]
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
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Euclidean structures and operator theory in Banach spaces
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
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Robust SVM Optimization in Banach spaces
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
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Monotonicity in Banach function spaces [PDF]
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
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Factorisation in stopping-time Banach spaces: identifying unique maximal ideals
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
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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
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