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Start Over Author "Nan Shi" Journal journal of inequalities and applications
8 results on '"Nan Shi"'

1. Schur-convexity for compositions of complete symmetric function dual

Author

Jian Zhang, Huan-Nan Shi, and Pei Wang

Subjects
Schur-geometric convexity, Pure mathematics, Mathematics::Combinatorics, Applied Mathematics, lcsh:Mathematics, 010102 general mathematics, Schur-harmonic convexity, Schur-convexity, Completely symmetric function, lcsh:QA1-939, 01 natural sciences, Convexity, Dual (category theory), 010101 applied mathematics, Symmetric function, Discrete Mathematics and Combinatorics, Dual form, 0101 mathematics, Mathematics::Representation Theory, Analysis, Mathematics
Abstract

The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are established.

Published
2020
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2. Majorization involving the cyclic moving average

Author

Alatancang Chen, Huan-Nan Shi, Tao Zhang, and Bo-Yan Xi

Subjects
lcsh:Mathematics, Research, Applied Mathematics, Open problem, 010102 general mathematics, lcsh:QA1-939, Cyclic moving average, 01 natural sciences, 010101 applied mathematics, 26D15, Inequality, Mathematics::K-Theory and Homology, Moving average, 26A51, Discrete Mathematics and Combinatorics, Applied mathematics, 26E60, 0101 mathematics, Majorization, Analysis, Mathematics
Abstract

We solve an open problem on some majorization inequalities involving the cyclic moving average.

Published
2018
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3. Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities

Author

Shanhe Wu and Huan-Nan Shi

Subjects
Pure mathematics, Statistics::Theory, inequality, Inequality, media_common.quotation_subject, Harmonic (mathematics), 02 engineering and technology, 01 natural sciences, Convexity, 26B25, 0202 electrical engineering, electronic engineering, information engineering, Discrete Mathematics and Combinatorics, Statistics::Methodology, 26E60, 0101 mathematics, Mathematics::Representation Theory, media_common, Mathematics, Mathematics::Combinatorics, lcsh:Mathematics, Applied Mathematics, Research, 010102 general mathematics, geometric Bonferroni mean, Bonferroni mean, lcsh:QA1-939, majorization relationship, Quantitative Biology::Genomics, 020201 artificial intelligence & image processing, Schur’s condition, Analysis
Abstract

In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.

Published
2018

4. Two double inequalities for k-gamma and k-Riemann zeta functions

Author

Huan-Nan Shi and Jing Zhang

Subjects
Particular values of Riemann zeta function, Astrophysics::High Energy Astrophysical Phenomena, Applied Mathematics, Mathematical analysis, Riemann zeta function, Riemann Xi function, symbols.namesake, Arithmetic zeta function, Riemann hypothesis, Digamma function, symbols, Discrete Mathematics and Combinatorics, Polygamma function, Analysis, Prime zeta function, Mathematical physics, Mathematics
Abstract

By using methods in the theory of majorization, a double inequality for the gamma function is extended to the k-gamma function and the k-Riemann zeta function.

Published
2014
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5. Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions

Author

Jing Zhang and Huan-Nan Shi

Subjects
Mathematics::Combinatorics, Applied Mathematics, Schur's lemma, Schur algebra, Schur polynomial, Schur's theorem, Symmetric function, Algebra, Schur decomposition, Schur complement, Discrete Mathematics and Combinatorics, Mathematics::Representation Theory, Analysis, Schur product theorem, Mathematics
Abstract

The judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions are given. As their application, some analytic inequalities are established.

Published
2013
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6. New proofs of Schur-concavity for a class of symmetric functions

Author

Jian Zhang, Chun Gu, and Huan-Nan Shi

Subjects
Mathematics::Combinatorics, Power sum symmetric polynomial, Applied Mathematics, Stanley symmetric function, Complete homogeneous symmetric polynomial, Schur polynomial, Symmetric function, Combinatorics, Discrete Mathematics and Combinatorics, Elementary symmetric polynomial, Newton's identities, Mathematics::Representation Theory, Ring of symmetric functions, Analysis, Mathematics
Abstract

By properties of the Schur-convex function, Schur-concavity for a class of symmetric functions is simply proved uniform. 2000 Mathematics Subject Classification: Primary 26D15; 05E05; 26B25.

Published
2012
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7. Schur-convexity of dual form of some symmetric functions

Author

Jing Zhang and Huan-Nan Shi

Subjects
Mathematics::Combinatorics, Power sum symmetric polynomial, Applied Mathematics, Stanley symmetric function, Complete homogeneous symmetric polynomial, Schur polynomial, Symmetric closure, Combinatorics, Symmetric function, Elementary symmetric polynomial, Discrete Mathematics and Combinatorics, Ring of symmetric functions, Mathematics::Representation Theory, Analysis, Mathematics
Abstract

By the properties of a Schur-convex function, Schur-convexity of the dual form of some symmetric functions is simply proved. MSC: Primary 26D15; 05E05; 26B25

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8. Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities

Author

Huan-Nan Shi and Shan-He Wu

Subjects
geometric Bonferroni mean, Schur’s condition, majorization relationship, inequality, Mathematics, QA1-939
Abstract

Abstract In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.

Published
2018
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