Results 1 to 10 of about 1,239,655 (312)
On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals [PDF]
Sahand 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]
Sahand 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
Enhanced bounds for Riemann-Liouville fractional integrals: Novel variations of Milne inequalities
AIMS Mathematics, 2023 In this research article, we present novel extensions of Milne type inequalities to the realm of Riemann-Liouville fractional integrals. Our approach involves exploring significant functional classes, including convex functions, bounded functions ...
Hüseyin Budak, Abd-Allah Hyder
doaj +1 more source
One Component Bounded Functions
Computational Methods and Function Theory, 2023 21 ...
Bellavita, Carlo, Nicolau, Artur
openaire +3 more sources
On function spaces related to some kinds of weakly sober spaces
AIMS Mathematics, 2022 In this paper, we mainly study function spaces related to some kinds of weakly sober spaces, such as bounded sober spaces, $ k $-bounded sober spaces and weakly sober spaces.
Xiaoyuan Zhang, Meng Bao, Xiaoquan Xu
doaj +1 more source
Note on composition of entire functions and bounded $L$-index in direction
Математичні 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 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 +2 more
doaj +1 more source
Математичні 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
AIMS 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
Моделирование 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