Results 1 to 10 of about 750,144 (292)
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
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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
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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
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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
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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
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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
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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
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Composition of entire and analytic functions in the unit ball
Karpatsʹkì 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
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A note on bounded harmonic functions over homogeneous trees [PDF]
Opuscula 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
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Nonlocal error bounds for piecewise affine functions [PDF]
Set-Valued and Variational Analysis, vol. 31, article number 32,
(2023), 2022 The paper is devoted to a detailed analysis of nonlocal error bounds for nonconvex piecewise affine functions. We both improve some existing results on error bounds for such functions and present completely new necessary and/or sufficient conditions for a piecewise affine function to have an error bound on various types of bounded and unbounded sets ...
arxiv +1 more source