Results 11 to 20 of about 5,509,463 (298)

Approximating Real Functions Which Possess n-th Derivatives of Bounded Variation and Applications [PDF]

open access: yes, 2007
The main aim of this paper is to provide an approximation for the function f which possesses continuous derivatives up to the order n−1 (n ≥ 1) and has the n−th derivative of bounded variation, in terms of the chord that connects its end points A = (a,
Dragomir, Sever S
core   +7 more sources

On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this paper, we establish some Trapezoid and Midpoint type inequalities for generalized fractional integrals by utilizing the functions whose second derivatives are bounded .
Huseyin Budak   +2 more
doaj   +1 more source

On Some New Extensions of Inequalities of Hermite-Hadamard Type for Generalized Fractional Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we establish some inequalities for generalized fractional integrals by utilizing the assumption that the second derivative of $\phi (x)=\varpi \left( \frac{\kappa _{1}\kappa _{2}}{\mathcal{\varkappa }}\right)  $ is bounded.
Huseyin Budak   +2 more
doaj   +1 more source

Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results [PDF]

open access: yes, 2006
Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established.
Dragomir, Sever S
core   +7 more sources

Note on composition of entire functions and bounded $L$-index in direction

open access: yesМатематичні Студії, 2021
We study the following question: ``Let $f\colon \mathbb{C}\to \mathbb{C}$ be an entire function of bounded $l$-index, $\Phi\colon \mathbb{C}^n\to \mathbb{C}$ an be entire function, $n\geq2,$ $l\colon \mathbb{C}\to \mathbb{R}_+$ be a continuous function ...
A. I. Bandura, O. B. Skaskiv, T. M. Salo
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

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

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

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

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