The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let d(n) and d*(n) be, respectively, the number of divisors and the number of unitary divisors of an integer n≥1. A divisor d of an integer is to be said unitary if it is prime over n/d.
Ouarda Bouakkaz, Abdallah Derbal
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Sharp two-parameter bounds for the identric mean
Journal of Inequalities and Applications, 2018 For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of means Qt,s(a,b)=Gs(ta+(1−t)b,(1−t)a+tb)A1−s(a,b), $$ Q_{t,s}(a,b)=G^{s}\bigl(ta+(1-t)b,(1-t)a+tb\bigr)A^{1-s}(a,b), $$ where A and G denote the arithmetic and ...
Omran Kouba
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Optimal bounds of the arithmetic mean in terms of new Seiffert-like means
, 2020 We provide the optimal bounds for the arithmetic mean in terms of the arithmetic, harmonic, quadratic, inverse quadratic and geometric combination of means generated by sine, tangent, hyperbolic sine and hyperbolic tangent functions.
M. Nowicka, A. Witkowski
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New Bounds for Arithmetic Mean by the Seiffert-like Means
Mathematics, 2022 By using the power series of the functions 1/sinnt and cost/sinnt (n=1,2,3,4,5), and the estimation of the ratio of two adjacent Bernoulli numbers, we obtained new bounds for arithmetic mean A by the weighted arithmetic means of Mtan1/3Msin2/3 and 13Mtan+
Ling Zhu
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Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean
Journal of Inequalities and Applications, 2017 In this paper, we find the greatest values α 1 , α 2 $\alpha_{1},\alpha_{2}$ and the smallest values β 1 , β 2 $\beta_{1},\beta_{2}$ such that the double inequalities L α 1 ( a , b ) < AG ( a , b ) < L β 1 ( a , b ) $L_{\alpha_{1}}(a,b)0$ with a ≠ b $a ...
Qing Ding, Tiehong Zhao
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A new Quarter-Sweep Arithmetic Mean (QSAM) method to solve diffusion equations [PDF]
, 2009 The aim of this paper is to introduce the Quarter-Sweep Arithmetic Mean (QSAM) method using the Quarter-Sweep Crank-Nicolson (QSCN) finite difference method for solving one-dimensional diffusion equations.
Mohammad Khatim Hasan +2 more
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JISKA (Jurnal Informatika Sunan Kalijaga), 2020 Noise in the image caused a decrease in image quality, so that the image will look dirty and spots appear on the resulting image. Noise also results in reduced information on the resulting image so that noise limits valuable information when image ...
Mhd Furqan +2 more
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Applications of differential subordination for certain subclasses of meromorphically univalent functions defined by rapid operator [PDF]
E-Journal of Analysis and Applied Mathematics, 2021 In this work, we investigate some applications of differential subordination for the class of meromorphic univalent functions defined by rapid operator and obtained coefficient bounds, integral representations, weighted and arithmetic mean for the class ...
Bolineni Venkateswarlu +3 more
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The Pioneering Role of the Fitness and Bodybuilding Halls in Mosul from the Viewpoint of its Visitors [PDF]
مجلة الرافدين للعلوم الرياضية, 2022 The current research aims to: 1- Build an entrepreneurial trend in the halls of fitness and bodybuilding in the city of Mosul from the viewpoint of its visitors.
Abd Ulslam Abbass, Khaled Mahmoud Aziz
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A Proof of the Arithmetic Mean-Geometric Mean-Harmonic Mean Inequalities [PDF]
, 1999 In the note, using Cauchy-Schwartz-Buniakowski's inequality, the authors give a new proof of the arithmetic mean-geometric mean-harmonic mean ...
Xia, Da-Feng, Qi, Feng, Xu, Sen-Lin
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