Results 41 to 50 of about 539 (144)

Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]

open access: yes, 2012
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
core   +1 more source

On bounds of the sine and cosine along straight lines on the complex plane

open access: yesActa Universitatis Sapientiae: Mathematica, 2019
In the paper, the author discusses and computes bounds of the sine and cosine along straight lines on the complex plane.
Qi Feng
doaj   +1 more source

Sharpening and generalizations of Shafer's inequality for the arc tangent function

open access: yes, 2009
In this paper, we sharpen and generalize Shafer's inequality for the arc tangent function.
Bai-Ni Guo, Feng Qi, Shi-Qin Zhang
core   +4 more sources

On the composition and neutrix composition of the delta function and powers of the inverse hyperbolic sine function [PDF]

open access: yes, 2010
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
core   +1 more source

SIMPLIFICATION OF COEFFICIENTS IN DIFFERENTIAL EQUATIONS ASSOCIATED WITH HIGHER ORDER FROBENIUS – EULER NUMBERS

open access: yes, 2017
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
semanticscholar   +1 more source

Sharp inequalities related to the constant e

open access: yesJournal of Inequalities and Applications, 2014
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
semanticscholar   +2 more sources

On Wilker and Huygens type inequalities

open access: yes, 2012
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
semanticscholar   +1 more source

On transcendental numbers

open access: yes, 2014
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.
core   +2 more sources

Some results on hybrid relatives of the Sheffer polynomials via operational rules

open access: yesMiskolc Mathematical Notes, 2019
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
semanticscholar   +1 more source

Eight interesting identities involving the exponential function, derivatives, and Stirling numbers of the second kind

open access: yes, 2012
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
core   +1 more source

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