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3 results on '"Half-discrete Mulholland-type inequality"'

1. On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function

Author

Qiang Chen and Bicheng Yang

Subjects
Weight function, Hermite–Hadamard’s inequality, Half-discrete Mulholland-type inequality, Higher-order derivative function, Parameter, Best possible constant factor, Mathematics, QA1-939
Abstract

Abstract By means of the weight functions, Hermite–Hadamard’s inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative function is given. The equivalent statements of the best possible constant factor related to a few parameters, the equivalent forms, and several particular inequalities are provided. Another kind of the reverses is also considered.

Published
2021
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2. On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function.

Author

Chen, Qiang and Yang, Bicheng

Abstract

By means of the weight functions, Hermite–Hadamard's inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative function is given. The equivalent statements of the best possible constant factor related to a few parameters, the equivalent forms, and several particular inequalities are provided. Another kind of the reverses is also considered. [ABSTRACT FROM AUTHOR]

Published
2021
Full Text
View/download PDF

3. On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function

Author

Bicheng Yang and Qiang Chen

Subjects
Inequality, Real analysis, Parameter, Applied Mathematics, media_common.quotation_subject, Type (model theory), Best possible constant factor, Constant factor, Weight function, Half-discrete Mulholland-type inequality, QA1-939, Hermite–Hadamard’s inequality, Discrete Mathematics and Combinatorics, Applied mathematics, Order (group theory), Higher-order derivative function, Mathematics, Analysis, media_common
Abstract

By means of the weight functions, Hermite–Hadamard’s inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative function is given. The equivalent statements of the best possible constant factor related to a few parameters, the equivalent forms, and several particular inequalities are provided. Another kind of the reverses is also considered.

Published
2021

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