Results 31 to 40 of about 640,777 (319)
Analysis and application of real-time compensation of positioning precision of the turntable with a harmonic function [PDF]
Metrology and Measurement Systems, 2022 In order to guarantee the accuracy of turntable angle measurement, a real-time compensation method for turntable positioning precision based on harmonic analysis is proposed in this paper.
Yi Zhou +5 more
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Certain Hermite–Hadamard Inequalities for Logarithmically Convex Functions with Applications
Mathematics, 2019 In this paper, we discuss various estimates to the right-hand (resp. left-hand) side of the Hermite⁻Hadamard inequality for functions whose absolute values of the second (resp. first) derivatives to positive real powers are log-convex.
Shilpi Jain +3 more
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Journal of Applied Sciences and Environmental Management, 2023 A study on transient free convection flow of a dusty viscous fluid through a porous medium is important for improving the existing industrial processes and for developing new chemical and geothermal systems.
O. R. Jimoh, I. Ibrahim
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Some identities on generalized harmonic numbers and generalized harmonic functions
Demonstratio Mathematica, 2023 Abstract The harmonic numbers and generalized harmonic numbers appear frequently in many diverse areas such as combinatorial problems, many expressions involving special functions in analytic number theory, and analysis of algorithms.
Kim Dae San, Kim Hyekyung, Kim Taekyun
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IEEE Access, 2022 In modern power systems, harmonics are amongst the significant issues attributed to renewable energy sources and nonlinear loads. Direct harmonic monitoring of the entire power system may be too costly or impractical, and measured data could be limited ...
Ahmadreza Eslami +3 more
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Five classes of binomial/harmonic series of convergence rate $ -1/4 $
AIMS MathematicsBy applying the 'coefficient extraction method' to the symmetric transformation of hypergeometric series due to Chu and Zhang (2014), we examine systematically five classes of infinite series of convergence rate '$ -1/4 $' containing binomial ...
Chunli Li, Wenchang Chu
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The monotonicity and convexity of a function involving psi function with applications
Journal of Inequalities and Applications, 2016 In this paper, we prove that the function x ↦ exp ( ψ ( x + 1 2 ) − 1 24 1 x 2 + 7 / 40 ) − x $$ x\mapsto\exp \biggl( \psi \biggl( x+\frac{1}{2} \biggr) -\frac {1}{24} \frac{1}{x^{2}+7/40} \biggr) -x $$ is decreasing from ( − 1 / 2 , ∞ ) $( -1/2,\infty )
Bang-Cheng Sun +3 more
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On harmonic numbers and Lucas sequences [PDF]
Publicationes Mathematicae Debrecen, 2012 Harmonic numbers $H_k=\sum_{05 we have $$\sum_{k=0}^{p-1}u_{k+ }H_k/2^k=0 (mod p),$$ where $ =0$ if p=1,2,4,8 (mod 15), and $ =1$ otherwise.
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On the harmonic number expansion by Ramanujan [PDF]
Journal of Inequalities and Applications, 2013 Let γ = 0.577215664 … Open image in new window denote the Euler-Mascheroni constant, and let the ...
Chao-Ping Chen, Cristinel Mortici
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