Time scales integral inequalities for superquadratic functions
2013
cari´ Abstract. In this paper, two different methods of proving Jensen's in- equality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained us- ing properties of superquadratic functions and some known results for isotonic linear functionals.
Keywords:
- Cauchy–Schwarz inequality
- Mathematical analysis
- Karamata's inequality
- Chebyshev's inequality
- Jensen's inequality
- Rearrangement inequality
- Ky Fan inequality
- Log sum inequality
- Linear inequality
- Mathematics
- Endocrinology
- Kantorovich inequality
- Internal medicine
- Applied mathematics
- Minkowski inequality
- Hölder's inequality
- Correction
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