Results 21 to 30 of about 5,509,463 (298)
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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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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Note on boundedness of the $L$-index in the direction of the composition of slice entire functions
Математичні 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
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A New Double Truncated Generalized Gamma Model with Some Applications
Journal 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
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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On bounded functions with bounded 𝑛th differences [PDF]
Proceedings of the American Mathematical Society, 1959 We consider real valued functions f defined in a closed interval I (bounded or unbounded), with nth differences $$ \Delta _{h}^{n}f(x) = \sum\limits_{i} {{{{( - 1)}}^{{n - i}}}} \left( {\begin{array}{*{20}{c}} n \\ i \\ \end{array} } \right)f(x + ih) $$ bounded for some fixed n.
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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Journal 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
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Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications
Modelling, 2021 In recent years, bounded distributions have attracted extensive attention. At the same time, various areas involve bounded interval data, such as proportion and ratio.
Liyuan Pang +3 more
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Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation [PDF]
Symmetry, 2021 In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided.
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A CRITERION FOR BOUNDED FUNCTIONS
Bulletin of the Korean Mathematical Society, 2016 Summary: We consider a sufficient condition for \(w(z)\), analytic in \(|z|
Nunokawa, Mamoru +2 more
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