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Our aim in this paper is to derive several new inequalities for the Mathieu type series and the Riemann zeta function. In particular, we prove Turán type inequalities and some… Click to show full abstract
Our aim in this paper is to derive several new inequalities for the Mathieu type series and the Riemann zeta function. In particular, we prove Turán type inequalities and some monotonicity and log-convexity results for these special functions. New Laplace type integral representations for the Mathieu type series and the Riemann zeta function are also presented. Mathematics subject classification (2010): Primary 33B15, 33E20, secondary 11M35, 60E10.
Keywords:
zeta function;
series riemann;
type series;
riemann zeta;
mathieu type
Journal Title: Journal of Mathematical Inequalities
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Mathematical Inequalities
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!