Results 11 to 20 of about 11,568,694 (339)

On new Milne-type inequalities for fractional integrals

open access: yesJournal 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   +2 more
doaj   +1 more source

On an attempt to introduce a notion of bounded index for the Fueter regular functions of the quaternionic variable

open access: yesМатематичні Студії, 2023
There is introduced a concept of index for the Fueter regular function of the quaternionic variables. There are considered three approaches (Fueter, Sudbery and Mariconda) constructing the Fueter regular function from a holomorphic function of complex ...
V. P. Baksa, A. I. Bandura
doaj   +1 more source

Exploration of indispensable Banach-space valued functions

open access: yesAIMS Mathematics, 2023
In the paper, we present a necessary and sufficient condition for the existence of a sequence of measurable functions with finite values, which converge to any given essential bounded function in the topology of essential supremum in a Banach space.
Yiheng Hu   +3 more
doaj   +1 more source

Enumeration Degrees of the Bounded Sets

open access: yesМоделирование и анализ информационных систем, 2022
The term ``total enumeration degree'' is related to the fact that the e-degree is total if and only if it contains a graph of some total function. In a number of works by the author and a group of mathematicians from the University of Wisconsin-Madison,
Boris Y. Solon
doaj   +1 more source

On the approximation of bounded functions by trigonometric polynomials in Hausdorff metric [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
The article discusses a method for constructing a spline function to obtain estimates that are exact in order to approximate bounded functions by trigonometric polynomials in the Hausdorff metric.
Sadekova, Ekaterina H.
doaj   +1 more source

A New Double Truncated Generalized Gamma Model with Some Applications

open access: yesJournal of Mathematics, 2021
The generalized Gamma model has been applied in a variety of research fields, including reliability engineering and lifetime analysis. Indeed, we know that, from the above, it is unbounded. Data have a bounded service area in a variety of applications. A
Awad A. Bakery   +2 more
doaj   +1 more source

Composition of entire and analytic functions in the unit ball

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv
doaj   +1 more source

A note on bounded harmonic functions over homogeneous trees [PDF]

open access: yesOpuscula Mathematica, 2013
Let \(\mathcal{T}_k\) be the homogeneous tree of degree \(k\geq 3\). J.M. Cohen and F. Colonna have proved that if \(f\) is a bounded harmonic function on \(\mathcal{T}_k\), then \(|f(x)-f(y)|\leq \|f\|_\infty\cdot 2(k-2)/k\) for any adjacent vertices ...
Francisco Javier González Vieli
doaj   +1 more source

BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces

open access: yesJournal of Function Spaces, 2021
Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
doaj   +1 more source

Note on boundedness of the $L$-index in the direction of the composition of slice entire functions

open access: yesМатематичні Студії, 2022
We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa   +3 more
doaj   +1 more source

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