Chao-Ping Chen

Henan Polytechnic University

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Feng Qi

Henan Polytechnic University

H. M. Srivastava

Banaras Hindu University

R. B. Paris

Abertay University

Cristinel Mortici

Universitatea Națională de Știință și Tehnologie Politehnica București

Junesang Choi

Dongguk University

Xuefeng Han

Shanghai Jiao Tong University

Neven Elezović

University of Zagreb

Ai‐Jun Li

Zhejiang University of Science and Technology

Long Lin

Henan Polytechnic University

Wing‐Sum Cheung

University of Hong Kong

Cooperative Institutions

GS Caltex (South Korea)

253

Henan Polytechnic University

Zhejiang University

Mansoura University

Seoul National University

Weatherford College

Gülhane Askerî Tıp Akademisi

Chinese Academy of Sciences

Tokyo Institute of Technology

Peking University

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Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions

Journal of Mathematical Inequalities (2020)

Bo Zhang Chao-Ping Chen

In this paper, we prove Wilker and Huygens type inequalities for inverse trigonometric functions.This solves two conjectures proposed by Chao-Ping Chen.Also, we present new sharp Wilker and Huygens type inequalities for trigonometric functions.

Inverse trigonometric functions

Trigonometric integral

Trigonometric polynomial

Chen

Ping (video games)

Trigonometric substitution

Trigonometric series

10.7153/jmi-2020-14-43

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Citations (15)

Logarithmically complete monotonicity and Shur-convexity for some ratios of gamma functions

Publikacija Elektrotehnickog fakulteta - serija matematika (2006)

Ai‐Jun Li Zhao Wei-Zhen Chao-Ping Chen

Define F(x) = ?(mx) xm-1?m(x) and G(x)- ?(mx) ?m(x). for x > 0 and m = 2 3,?. In this paper, we consider the logarithmically complete monotonicity properties for the function F and 1/G, and we prove that the function ?(x) = ? n i=1 ?(mxi + 1) ?m (x1 + 1) is strictly Schur-convex (-1/m,+?)n.

Convexity

Logarithmically convex function

10.2298/petf0617088a

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Citations (2)

Inequalities of some trigonometric functions

Publikacija Elektrotehnickog fakulteta - serija matematika (2004)

Chao-Ping Chen Feng Qi

By using two identities and two inequalities relating to Bernoulli's and Euler's numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and tangent function, six inequalities involving tangent function, cotangent function, sine function, secant function and cosecant function are established.

Inverse trigonometric functions

Sine

Trigonometric substitution

Pythagorean trigonometric identity

Trigonometric series

10.2298/petf0415071c

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Citations (10)

On certain conjectures for the two Seiffert means

Journal of Mathematical Inequalities (2019)

Chao-Ping Chen József Sándor

In 2015 Vukšić, by using the asymptotic expansion method, conjectured certain inequalities related to the first and second Seiffert means.In this paper, we prove certain conjectures given by Vukšić.

10.7153/jmi-2019-13-06

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Citations (1)

Some new properties of the Barnes G-function and related results

Applicable Analysis and Discrete Mathematics (2020)

Chao-Ping Chen H. M. Srivastava

In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its integral representation, complete monotonicity, and continued-fraction approximation. We also derive continued-fraction approximations of the Glaisher-Kinkelin constant and the Choi-Srivastava constants.

Constant (computer programming)

Fraction (chemistry)

Representation

10.2298/aadm200424056c

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Citations (3)

Approximation formulas for Landauʼs constants

Journal of Mathematical Analysis and Applications (2011)

Chao-Ping Chen

Landau theory

Constant (computer programming)

Landau quantization

10.1016/j.jmaa.2011.09.051

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Citations (11)

Inequalities associated with Barnes G-function

Expositiones Mathematicae (2010)

Chao-Ping Chen

10.1016/j.exmath.2010.07.001

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Citations (12)

A complete monotonicity property of the gamma function

Journal of Mathematical Analysis and Applications (2004)

Feng Qi Chao-Ping Chen

10.1016/j.jmaa.2004.04.026

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Citations (191)

Glaisher–Kinkelin constant

Integral Transforms and Special Functions (2011)

Chao-Ping Chen

Abstract (i) The Glaisher–Kinkelin constant A=1.28242712… is defined as the limit of the sequence . We establish the asymptotic representation of the sequence (ln A n ) n∈ℕ and obtain the upper and lower bounds for ln A n −ln A. (ii) Also, two constants analogous to the Glaisher–Kinkelin constant are considered and the results corresponding to (i) are given. Keywords: sequenceGlaisher–Kinkelin constantEuler–Maclaurin formulaasymptotic formulainequality 2000 Mathematics Subject Classifications:: 11Y6040A05

Constant (computer programming)

Sequence (biology)

Representation

Constant coefficients

10.1080/10652469.2011.632501

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Citations (24)

Inequalities and asymptotics for the Euler–Mascheroni constant based on DeTemple’s result

Numerical Algorithms (2016)

Chao-Ping Chen

Theory of computation

Constant (computer programming)

10.1007/s11075-016-0116-9

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Citations (2)