Results 41 to 50 of about 539 (144)
Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]
In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic ...
Jiang, Wei-Dong, Qi, Feng
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On bounds of the sine and cosine along straight lines on the complex plane
In the paper, the author discusses and computes bounds of the sine and cosine along straight lines on the complex plane.
Qi Feng
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Sharpening and generalizations of Shafer's inequality for the arc tangent function
In this paper, we sharpen and generalize Shafer's inequality for the arc tangent function.
Bai-Ni Guo, Feng Qi, Shi-Qin Zhang
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On the composition and neutrix composition of the delta function and powers of the inverse hyperbolic sine function [PDF]
Lets F be a distribution in D' and let f be a locally summable function. The composition F(f(x)) of F and f is said to exist and be equal to the distribution h(x) if the limit of the sequence {Fn(f(x))} is equal to h(x), where Fn(x)=F(x)*δn(x) for n=1, 2,
Fisher, Brian, Kilicman, Adem
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In the paper, by virtue of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and the inversion formulas of binomial numbers and the Stirling numbers of the first and second kinds, the authors simplify meaningfully and ...
Feng Qi (祁锋)+2 more
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Sharp inequalities related to the constant e
The aim of this work is to extend the results obtained by Batir and Cancan in (Int. J. Math. Educ. Sci. Technol. 40(8):1101-1109, 2009).MSC:26A09, 33B10, 26D99.
Yue Hu, C. Mortici
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On Wilker and Huygens type inequalities
Trigonometric inequalities, which have been obtained by J. Wilker [11] and C. Huygens [4], have attracted attention of several researchers (see, e.g., [1], [3], [6], [7], [8], [9], [10], [12], [13], [14], [15], [16]).
E. Neuman
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Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them.
Nichita, Florin F.
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Some results on hybrid relatives of the Sheffer polynomials via operational rules
The intended objective of this paper is to introduce a new class of polynomials, namely the extended Laguerre-Gould-Hopper-Sheffer polynomials. The generating function and operational rule are derived by making use of integral transform.
Mahvish Ali, Tabinda Nahid, Subuhi Khan
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In the paper, the author establishes some identities which show that the functions $\frac1{(1-e^{\pm t})^k}$ and the derivatives $\bigl(\frac1{e^{\pm t}-1}\bigr)^{(i)}$ can be expressed each other by linear combinations with coefficients involving the ...
Andrews+5 more
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