On New Generalized Mitrinović-Adamović-Type Inequalities

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. All the main results are also true in (−π,0) due to the symmetry of the curves involved.

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Journal
Mathematics
Published
2025-04-02
DOI
https://doi.org/10.3390/math13071174
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

On New Generalized Mitrinović-Adamović-Type Inequalities

Wei–Shih Du, Yogesh J. Bagul
Mathematics
Mathematical Inequalities and Applications
article

On New Generalized Mitrinović-Adamović-Type Inequalities

Wei–Shih Du, Yogesh J. Bagul
article en

Abstract

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. All the main results are also true in (−π,0) due to the symmetry of the curves involved.

MathematicsVol. 13(7)
National Kaohsiung Normal University (TW)
National Science and Technology Council
Openalex Percentile: Top 91%
Mathematical Inequalities and Applications
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On New Generalized Mitrinović-Adamović-Type Inequalities — Wei–Shih Du, Yogesh J. Bagul · Mathematics (2025) | TGRS Research Map | TGRS