Results 1 to 10 of about 28 (28)

Integral Inequalities Involving Strictly Monotone Functions

open access: yesMathematics, 2023
Functional inequalities involving special functions are very useful in mathematical analysis, and several interesting results have been obtained in this topic.
Mohamed Jleli, Bessem Samet
doaj   +1 more source

New Masjed Jamei–Type Inequalities for Inverse Trigonometric and Inverse Hyperbolic Functions

open access: yesMathematics, 2022
In this paper, we establish two new inequalities of the Masjed Jamei type for inverse trigonometric and inverse hyperbolic functions and apply them to obtain some refinement and extension of Mitrinović–Adamović and Lazarević inequalities.
Ling Zhu
doaj   +1 more source

New Bounds for the Sine Function and Tangent Function

open access: yesMathematics, 2021
Using the power series expansion technique, this paper established two new inequalities for the sine function and tangent function bounded by the functions x2sin(λx)/(λx)α and x2tan(μx)/(μx)β.
Ling Zhu
doaj   +1 more source

Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

open access: yesAnnales Mathematicae Silesianae, 2023
Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J.   +3 more
doaj   +1 more source

On Huygens′ Inequalities and the Theory of Means

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012
By using the theory of means, various refinements of Huygens′ trigonometric and hyperbolic inequalities will be proved. New Huygens′ type inequalities will be provided, too.
József Sándor, Mowaffaq Hajja
wiley   +1 more source

A Parametric Method for Proving Some Analytic Inequalities

open access: yesAxioms
In this paper, a parametric method for proving inequalities is described. The method is based on associating a considered inequality with the corresponding stratified family of functions.
Branko Malešević   +2 more
doaj   +1 more source

On New Generalized Mitrinović-Adamović-Type Inequalities

open access: yesMathematics
In this paper, we establish new generalized Mitrinović-Adamović-type inequalities in a wider range (0,π) by using the monotonicity of certain functions. These inequalities contain sharp and tractable bounds for the function sinxx3.
Yogesh J. Bagul, Wei-Shih Du
doaj   +1 more source
Some of the next articles are maybe not open access.

The Construct of Subjective Economic Inequality

Social Psychological and Personality Science, 2022
Steven Heine, Anita Schmalor
exaly  

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