Results 41 to 50 of about 167,639,266 (299)

On new Milne-type inequalities for fractional integrals

Journal of Inequalities and Applications, 2023
In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the ...
Hüseyin Budak, Pınar Kösem, Hasan Kara   +2 more
doaj   +1 more source

Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals [PDF]

Journal of theoretical probability, 2020
The paper deals with some properties of set-valued functions having bounded Riesz p -variation. Set-valued integrals of Young type for such multifunctions are introduced. Selection results and properties of such set-valued integrals are discussed.
M. Michta, J. Motyl
semanticscholar   +1 more source

On Functions of Bounded (p,k)-Variation

Journal of Function Spaces and Applications, 2012
We introduce and study the concept of (p,k)-variation ...
N. Merentes, S. Rivas, J. L. Sanchez
doaj   +1 more source

Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation [PDF]

Symmetry, 2021
In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided.
openaire   +3 more sources

Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$ [PDF]

Logical Methods in Computer Science, 2014
By the Riesz representation theorem using the Riemann-Stieltjes integral, linear continuous functionals on the set of continuous functions from the unit interval into the reals can either be characterized by functions of bounded variation from the unit ...
Klaus Weihrauch, Tahereh Jafarikhah
doaj   +1 more source

Integral representation of functions of bounded second Φ-variation in the sense of Schramm [PDF]

Opuscula Mathematica, 2012
In this article we introduce the concept of second \(\Phi\)-variation in the sense of Schramm for normed-space valued functions defined on an interval \([a,b] \subset \mathbb{R}\). To that end we combine the notion of second variation due to de la Vallée
José Giménez, Nelson Merentes, Sergio Rivas   +2 more
doaj   +1 more source

Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality [PDF]

, 2014
In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation, which allows us to obtain a simple proof of a generalized Koksma--Hlawka
C. Aistleitner, Josef Dick
semanticscholar   +1 more source

Functions of Bounded κφ-Variation in the Sense of Riesz-Korenblum

Journal of Function Spaces and Applications, 2013
We present the space of functions of bounded κφ-variation in the sense of Riesz-Korenblum, denoted by κBVφ[a,b], which is a combination of the notions of bounded φ-variation in the sense of Riesz and bounded κ-variation in the sense of Korenblum ...
Mariela Castillo, Sergio Rivas, María Sanoja, Iván Zea   +3 more
doaj   +1 more source

Trace theorems for functions of bounded variation in metric spaces [PDF]

, 2015
In this paper we show existence of traces of functions of bounded variation on the boundary of a certain class of domains in metric measure spaces equipped with a doubling measure supporting a $1$-Poincar\'e inequality, and obtain $L^1$ estimates of the ...
Panu Lahti, Nageswari Shanmugalingam
semanticscholar   +1 more source

Metric approximation of set-valued functions of bounded variation

Journal of Computational and Applied Mathematics, 2019
In this paper we approximate univariate set-valued functions (SVFs) of bounded variation with range consisting of general (not necessarily convex) compact sets.
E. Berdysheva, N. Dyn, E. Farkhi, A. Mokhov   +3 more
semanticscholar   +1 more source