A Novel Parametric Method for Proving Some Analytic Inequalities and Determining Minimax Approximations
Overview & Synopsis
In this paper, we give a novel method for proving inequalities and determining minimax approximants of the stratified families of functions. In the theory of analytic inequalities, there are numerous inequalities based on which one can form a family of functions that is stratified, i.e. monotonic with respect to the introduced parameter. The introduced method is based on identifying those functions from the family that have a stationary point on the observed interval. The applications of this method are demonstrated to the Cusa-Huygens, Mitrinović-Adamović-type and Jordan-type inequalities.
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Document Information
| Document Title | A Novel Parametric Method for Proving Some Analytic Inequalities and Determining Minimax Approximations |
|---|---|
| Author / Organization | Miloš Mićović, Branko Malešević, Tatjana Lutovac, Bojana Mihailović |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2025 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-157661 |
| Original Source Link | Visit Source Page on hal.science » |