Results 31 to 40 of about 11,335,757 (341)
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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On the harmonic number expansion by Ramanujan
Journal of Inequalities and Applications, 2013 Let γ=0.577215664… denote the Euler-Mascheroni constant, and let the sequences The main aim of this paper is to find the values r, s, t, a, b, c and d which provide the fastest sequences (un)n≥1 and (vn)n≥1 approximating the Euler-Mascheroni constant.
C. Mortici, Chao-Ping Chen
semanticscholar +2 more sources
Some results on q-harmonic number sums
Advances in Difference Equations, 2018 In this paper, we establish some relations involving q-Euler type sums, q-harmonic numbers and q-polylogarithms. Then, using the relations obtained with the help of q-analog of partial fraction decomposition formula, we develop new closed form ...
Xin Si
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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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ERDOS-SMARANDACHE MOMENTS NUMBERS [PDF]
, 1999 The starting point of this article is represented by a recent work of Finch [2000]. Based on two asymptotic results concerning the Erdos function, he proposed some interesting equation concerning the moments of the Smarandache function.
Tabirca, Sabin
core +1 more source
Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]
Notes on Number Theory and Discrete MathematicsWe find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele +1 more
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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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Chu–Vandermonde convolution and harmonic number identities [PDF]
, 2012 By applying the derivative operators to Chu–Vandermonde convolution, several general harmonic number identities are established.
Chuanan Wei, Dianxuan Gong, Qin Wang
semanticscholar +1 more source