DECREASING MONOTONICITY OF TWO RATIOS DEFINED BY THREE OR FOUR POLYGAMMA FUNCTIONS
| Autor: | Qi, Feng |
|---|---|
| Přispěvatelé: | Henan Polytechnic University, Tianjin Polytechnic University, Inner Mongolia University for Nationalities |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
ratio
monotonicity rule for the ratio of two Laplace transforms monotonicity rule for the ratio of two functions inequality decreasing monotonicity MSC: Primary 33B15 Secondary 26A48 26A51 26D07 26D15 26D20 44A10 60E15 majorization exponential function [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] polygamma function convolution theorem for the Laplace transform monotonicity rule for the ratio of two definite integrals |
| Popis: | In the paper, by virtue of convolution theorem for the Laplace transforms, by three monotonicity rules for the ratios of two definite integrals, of two Laplace transforms, and of two functions, and by other analytic techniques, the author presents decreasing monotonicity of two ratios defined by three or four polygamma functions. These results confirm guesses posed by the author. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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