Results 31 to 40 of about 5,782,798 (335)

Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation

open access: yes, 2019
In this paper we establish some Ostrowski and trapezoid type inequalities for the $k$-$g$-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well.
S. Dragomir
semanticscholar   +1 more source

On infinitely cohomologous to zero observables [PDF]

open access: yes, 2002
We show that for a large class of piecewise expanding maps T, the bounded p-variation observables u_0 that admits an infinite sequence of bounded p-variation observables u_i satisfying u_i(x)= u_{i+1}(Tx) -u_{i+1}(x) are constant. The method of the proof
de Lima, Amanda, Smania, Daniel
core   +4 more sources

Impulsive Control Systems with Trajectories of Bounded p-Variation

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
The paper deals with impulse-trajectory relaxations of control-affine systems under the assumption that $L_1$-norms of the control functions are not uniformly bounded. Generalized solutions of such control systems may be of infinite total variation. Most
O.N. Samsonyuk, M. V. Staritsyn
doaj   +1 more source

Rough Differential Equations Containing Path-Dependent Bounded Variation Terms [PDF]

open access: yesJournal of theoretical probability, 2016
We consider rough differential equations whose coefficients contain path-dependent bounded variation terms and prove the existence and a priori estimate of solutions.
S. Aida
semanticscholar   +1 more source

Opinion formation with time-varying bounded confidence. [PDF]

open access: yesPLoS ONE, 2017
When individuals in social groups communicate with one another and are under the influence of neighbors' opinions, they typically revise their own opinions to adapt to such peer opinions.
YunHong Zhang, QiPeng Liu, SiYing Zhang
doaj   +1 more source

On The Spectrum Of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) On The Sequence Spaces ℓ1 And 𝑏𝑣

open access: yesEurasian Journal of Science and Engineering, 2023
In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) is a linear and bounded operator on the sequence spaces ℓ1 and 𝑏𝑣 ...
Orhan Tug
doaj   +1 more source

Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense [PDF]

open access: yesOpuscula Mathematica, 2012
We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-variation in the Schramm sense is affine. A composition operator is locally defined.
Tomás Ereú   +3 more
doaj   +1 more source

Regularity of the Hardy-Littlewood maximal operator on block decreasing functions

open access: yes, 2009
We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
core   +1 more source

Which special functions of bounded deformation have bounded variation? [PDF]

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015
Functions of bounded deformation (BD) arise naturally in the study of fracture and damage in a geometrically linear context. They are related to functions of bounded variation (BV), but are less well understood.
S. Conti, M. Focardi, F. Iurlano
semanticscholar   +1 more source

Functions of locally bounded variation on Wiener spaces

open access: yes, 2014
We introduce the concept of functions of locally bounded variation on abstract Wiener spaces and study their properties. Some nontrivial examples and applications to stochastic analysis are also discussed.Comment: 20 pages, accepted for ...
Hino, Masanori
core   +1 more source

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