Results 51 to 60 of about 167,639,266 (299)

On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation [PDF]

, 2006
Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f'| is convex is explored.
Cheung, Wing Sum, Cerone, Pietro, Dragomir, Sever S   +2 more
core   +6 more sources

Trace and extension theorems for functions of bounded variation [PDF]

, 2015
In this paper we show that every $L^1$-integrable function on $\partial\Omega$ can be obtained as the trace of a function of bounded variation in $\Omega$ whenever $\Omega$ is a domain with regular boundary $\partial\Omega$ in a doubling metric measure ...
Lukáš Malý, Nageswari Shanmugalingam, M. Snipes   +2 more
semanticscholar   +1 more source

Functions of Bounded kth p-Variation and Continuity Modulus

Journal of Function Spaces, 2015
A scale of spaces exists connecting the class of functions of bounded kth p-variation in the sense of Riesz-Merentes with the Sobolev space of functions with p-integrable kth derivative.
Odalis Mejía, Pilar Silvestre
doaj   +1 more source

Functions of bounded fractional differential variation: A new Banach algebra

Annals of the Alexandru Ioan Cuza University - Mathematics
Prajapati and Kachhia [10] introduced the concept of functions of bounded fractional differential variation and proposed an open problem whether the class of functions of bounded fractional differential variation on a closed bounded interval is a Banach ...
Sudhir Kumar, J. Prajapati
semanticscholar   +1 more source

Functions of bounded variation on “good” metric spaces

, 2003
In this paper we give a natural definition of Banach space valued BV functions defined on complete metric spaces endowed with a doubling measure (for the sake of simplicity we will say doubling metric spaces) supporting a Poincare inequality (see ...
M. Miranda
semanticscholar   +1 more source

Decomposition of Functions of Bounded Variation

The Annals of Probability, 1975
Cramer's theorem, that a normal distribution function $(\operatorname{df})$ has only normal components, is extended to a case where the components are allowed to be from a subclass $(B_1)$ of the functions of bounded variation other than the class of df's.
openaire   +3 more sources

Multiplication in the space of functions of bounded variation

Journal of Mathematical Analysis and Applications, 2019
Let B V [ 0 , 1 ] denote the Banach space of all functions on the unit interval that have bounded variation. When endowed with the pointwise product, B V [ 0 , 1 ] becomes a Banach algebra.
S. Kowalczyk, M. Turowska
semanticscholar   +1 more source

Bridging the Loneliness Gap: Depression, Connectivity, and Isolation in Pediatric Oncology Patients and Their Peers

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld, Scott H. Maurer, Michelle D. Watkinson, John Nury, Elise Barberis, Molly C. Mack   +5 more
wiley   +1 more source

Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes

Journal of Inequalities and Applications
This in-depth study looks at symmetric four-point Newton-Cotes-type inequalities with a focus on error estimates for numerical integration. The precision of these estimates is explored across various classes of functions, including those with bounded ...
Abdelghani Lakhdari, Muhammad Uzair Awan, Silvestru Sever Dragomir, Hüseyin Budak, Badreddine Meftah   +4 more
doaj   +1 more source

Optimal Integration for Functions of Bounded Variation [PDF]

Mathematics of Computation, 1985
The unique optimal information and the unique optimal linear algorithm are obtained for the integration of functions of bounded variation.
Traub, Joseph F., Lee, David
openaire   +4 more sources