Results 171 to 180 of about 879 (219)

On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation [PDF]

Mathematical Inequalities and Applications, 2000
.
Josip Pečarić, M Matic
exaly   +4 more sources

Some of the next articles are maybe not open access.

Related searches:

On the classes of functions of generalized bounded variation

Banach Journal of Mathematical Analysis, 2020
Assume that \(f:[a, b]\rightarrow\mathbb{R}\) is a function such that \begin{align*} &V(f, p_n\uparrow\infty, \phi, [a, b])\\ &:=\sup_n\sup_{\Delta}\left(\sum_{i=1}^{m}|f(t_i)-f(t_{i-1})|^{p_n}:\rho(\Delta)\ge\frac{1}{\phi(n)}\right)^{\frac{1}{p_n}}
Teimuraz Akhobadze, Koba Ivanadze
openaire   +1 more source

On analytic functions with generalized bounded Mocanu variation

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalida Inayat Noor, Ali Muhammad
openaire   +3 more sources

ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Mathematics of the USSR-Izvestiya, 1983
The following theorem by F. and M. Riesz is well known: If \(\Phi\) and its conjugate \({\tilde \Phi}\) are functions of bounded variation then \(\Phi\) and \({\tilde \Phi}\) are absolutely continuous. The author obtains the following generalization of this theorem. Theorem.
openaire   +1 more source

FUNCTIONS OF BOUNDED GENERALIZED SECOND VARIATION

Mathematics of the USSR-Sbornik, 1980
This paper introduces the classes and of functions of variables. These classes, for , are more general than the class of functions of bounded second variation introduced by F.I. Harsiladze, and in the case they contain the classes of functions of bounded generalized variation introduced by B.I. Golubov.
openaire   +2 more sources

A Note on Generalized Tricircular Projections on Spaces of Bounded Variation Functions

Complex Analysis and Operator Theory, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On Bounded Variation Functions by General MKZD Operators

Acta Mathematica Sinica, English Series, 2006
A family of operators, related to the classical Bernstein polynomial operators, were defined by Meyer-King and Zeller in 1960. These operators and their variants including integral versions have been the interest of considerable research since then. The author proves tight bounds for the rate of convergence for a Bézier-type variant of recent interest.
openaire   +1 more source

Derivatives and Integrals with Respect to a Base Function of Generalized Bounded Variation

Canadian Journal of Mathematics, 1967
In this paper we consider measures determined by arbitrary functions G(x) for which finite right and left limits exist everywhere and indicate how some of these measures permit the definition of generalized integrals of constructive or Denjoy type. These definitions are related to corresponding descriptive definitions based on the Perron approach as ...
Ellis, H. W., Jeffery, R. L.
openaire   +1 more source

Properties of Functions of Generalized Bounded Variations

2016
Summary: The class of functions of \(\Lambda BV^{(p)}\) shares many properties of functions of bounded variation. Here we have shown that \(\Lambda BV^{(p)}\) is a Banach space with a suitable norm, the intersection of \(\Lambda BV^{(p)}\), over all sequences \(\Lambda\), is the class of functions of BV\(^{(p)}\) and the union of \(\Lambda BV^{(p ...
openaire   +2 more sources

Two-Sided Estimates of the $$K$$-Functional for Spaces of Functions of Generalized Bounded Variation

Functional Analysis and Its Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources