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Mean Value Inequalities for Motzkin Numbers
被引:0
作者
:
Agoh, Takashi
论文数:
0
引用数:
0
h-index:
0
机构:
Tokyo Univ Sci, Dept Math, Noda, Chiba 2788510, Japan
Tokyo Univ Sci, Dept Math, Noda, Chiba 2788510, Japan
Agoh, Takashi
[
1
]
Alzer, Horst
论文数:
0
引用数:
0
h-index:
0
机构:
Morsbacher Str 10, D-51545 Waldbrol, Germany
Tokyo Univ Sci, Dept Math, Noda, Chiba 2788510, Japan
Alzer, Horst
[
2
]
机构
:
[1]
Tokyo Univ Sci, Dept Math, Noda, Chiba 2788510, Japan
[2]
Morsbacher Str 10, D-51545 Waldbrol, Germany
来源
:
JOURNAL OF INTEGER SEQUENCES
|
2021年
/ 24卷
/ 06期
关键词
:
Motzkin number;
inequality;
mean value;
D O I
:
暂无
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
Following up on results of Aigner, we present some inequalities for Motzkin numbers M-n. In particular, we prove that the sequence (1/M-n)(n >= 1) is strictly convex.
引用
收藏
页数:7
相关论文
共 5 条
[1]
Motzkin numbers
Aigner, M
论文数:
0
引用数:
0
h-index:
0
机构:
Frei Univ Berlin, Math Inst 2, D-14195 Berlin, Germany
Frei Univ Berlin, Math Inst 2, D-14195 Berlin, Germany
Aigner, M
[J].
EUROPEAN JOURNAL OF COMBINATORICS,
1998,
19
(06)
: 663
-
675
[2]
MOTZKIN NUMBERS
DONAGHEY, R
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY,BERNARD BARUCH COLL,NEW YORK,NY 10010
DONAGHEY, R
SHAPIRO, LW
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY,BERNARD BARUCH COLL,NEW YORK,NY 10010
SHAPIRO, LW
[J].
JOURNAL OF COMBINATORIAL THEORY SERIES A,
1977,
23
(03)
: 291
-
301
[3]
Sloane N. J. A., 2020, The on-line encyclopedia of integer sequences
[4]
Stanley Richard P., 1999, Enumerative Combinatorics, V2
[5]
Sun H, 2014, J INTEGER SEQ, V17
←
1
→
共 5 条
[1]
Motzkin numbers
Aigner, M
论文数:
0
引用数:
0
h-index:
0
机构:
Frei Univ Berlin, Math Inst 2, D-14195 Berlin, Germany
Frei Univ Berlin, Math Inst 2, D-14195 Berlin, Germany
Aigner, M
[J].
EUROPEAN JOURNAL OF COMBINATORICS,
1998,
19
(06)
: 663
-
675
[2]
MOTZKIN NUMBERS
DONAGHEY, R
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY,BERNARD BARUCH COLL,NEW YORK,NY 10010
DONAGHEY, R
SHAPIRO, LW
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY,BERNARD BARUCH COLL,NEW YORK,NY 10010
SHAPIRO, LW
[J].
JOURNAL OF COMBINATORIAL THEORY SERIES A,
1977,
23
(03)
: 291
-
301
[3]
Sloane N. J. A., 2020, The on-line encyclopedia of integer sequences
[4]
Stanley Richard P., 1999, Enumerative Combinatorics, V2
[5]
Sun H, 2014, J INTEGER SEQ, V17
←
1
→