Results 1 to 10 of about 126,431 (269)
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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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
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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
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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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Bounds of the Mertens Functions [PDF]
Advances in Dynamical Systems and Applications, 2020 In this paper we derive new properties of Mertens function and discuss about a likely upper bound of the absolute value of the Mertens function √log(𝑥!) > |𝑀(𝑥)| when 𝑥 > 1. Using this likely bound we show that we have a sufficient condition to prove the Riemann Hypothesis.
Eldar Sultanow +2 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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On the approximation of bounded functions by trigonometric polynomials in Hausdorff metric [PDF]
Известия 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.
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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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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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