Results 1 to 10 of about 22,594 (207)

Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type

AIMS Mathematics, 2021
In this paper, optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type are established using the monotone form of L'Hospital's rule and the criterion for the monotonicity of the quotient of power ...
Ling Zhu, Branko Malešević
doaj   +3 more sources

The impact of multimorbidity among adults with cardiovascular diseases on healthcare costs in Indonesia: a multilevel analysis [PDF]

BMC Public Health
Background Cardiovascular diseases (CVDs) are the leading cause of death in Indonesia, accounting for 38% of the total mortality in 2019. Moreover, healthcare spending on CVDs has been at the top of the spending under the National Health Insurance (NHI ...
Royasia Viki Ramadani, Mikael Svensson, Sven Hassler, Budi Hidayat, Nawi Ng   +4 more
doaj   +2 more sources

Sharp power mean bounds for the tangent and hyperbolic sine means [PDF]

Journal of Mathematical Inequalities, 2021
Summary: In the article, we prove that the double inequalities \begin{align*} \boldsymbol{M}_{\alpha_1}(a,b)
Zhao, Tie-Hong, Chu, Yu-Ming, Qian, Wei-Mao   +2 more
openaire   +2 more sources

Optimal bounds for the sine and hyperbolic tangent means II [PDF]

Journal of Applied Analysis, 2020
Abstract We provide the optimal bounds for the sine and hyperbolic tangent means in terms of various weighted means of the arithmetic and the contraharmonic means.
Monika Nowicka, Alfred Witkowski
openaire   +3 more sources

Optimal bounds for the tangent and hyperbolic sine means II [PDF]

Journal of Mathematical Inequalities, 2020
Summary: We provide the optimal bounds for the tangent and hyperbolic sine means in terms of various weighted means of the arithmetic and harmonic means. For Part I see [the authors, ``Optimal bounds for the tangent and hyperbolic sine means'', Aequationes Math. (to appear), \url{doi:10.1007/s00010-020-00705-6}].
Nowicka, Monika, Witkowski, Alfred
openaire   +2 more sources

Optimal bounds for the tangent and hyperbolic sine means [PDF]

Aequationes mathematicae, 2020
AbstractWe provide optimal bounds for the tangent and hyperbolic sine means in terms of various weighted means of the arithmetic and geometric means.
Monika Nowicka, Alfred Witkowski
openaire   +2 more sources

Refinements of bounds for the arithmetic mean by new Seiffert-like means

AIMS Mathematics, 2021
In the article, we present the sharp upper and lower bounds for the arithmetic mean in terms of new Seiffert-like means, which give some refinements of the results obtained in [1].
Wei-Mao Qian, Tie-Hong Zhao, Yu-Pei Lv
doaj   +1 more source

Several Double Inequalities for Integer Powers of the Sinc and Sinhc Functions with Applications to the Neuman–Sándor Mean and the First Seiffert Mean

Axioms, 2022
In the paper, the authors establish a general inequality for the hyperbolic functions, extend the newly-established inequality to trigonometric functions, obtain some new inequalities involving the inverse sine and inverse hyperbolic sine functions, and ...
Wen-Hui Li, Qi-Xia Shen, Bai-Ni Guo
doaj   +1 more source

New Bounds for Arithmetic Mean by the Seiffert-like Means

Mathematics, 2022
By using the power series of the functions 1/sinnt and cost/sinnt (n=1,2,3,4,5), and the estimation of the ratio of two adjacent Bernoulli numbers, we obtained new bounds for arithmetic mean A by the weighted arithmetic means of Mtan1/3Msin2/3 and 13Mtan+
Ling Zhu
doaj   +1 more source

Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means

Axioms, 2022
In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine ...
Wen-Hui Li, Peng Miao, Bai-Ni Guo
doaj   +1 more source