지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper, we investigate the Bonnesen-style Aleksandrov-Fenchel inequalities in $\mathbb R^{n},$ which are the generalization of known Bonne\-sen-style inequalities. We first define the $i$-th symmetric mixed homothetic deficit $\Delta_{i}(K, L)$ and its special case, the $i$-th Aleksandrov-Fenchel isoperimetric deficit $\Delta_{i}(K).$ Secondly, we obtain some lower bounds of $(n-1)$-th Aleksandrov Fenchel isoperimetric deficit $\Delta_{n-1}(K).$ Theorem \ref{thm3} strengthens Groemer's result. As direct consequences, the stronger isoperimetric inequalities are established when $n=2$ and $n=3.$ Finally, the reverse Bonnesen-style Aleksandrov-Fenchel inequalities are obtained. As a consequence, the new reverse Bonnesen-style inequality is obtained.
목차
등록된 정보가 없습니다.
참고문헌 (32)
참고문헌 신청
A. Dinghas / 1948 / Bemerkung zu einer Versch¨arfung der isoperimetrischen Ungleichung durch H. Hadwiger / Math. Nachr 1 : 284 ~ 286
D. Klain / 2007 / Bonnesen-type inequalities for surfaces of constant curvature / Adv. in Appl. Math 39 (2) : 143 ~ 154
D. Ren / 1994 / Topics in Integral Geometry / World Scientific
H. Flanders / 1968 / A proof of Minkowski’s inequality for convex curves / Amer. Math. Monthly 75 (6) : 581 ~ 593
H. Groemer / 1991 / Stability estimates for some geometric inequalities / Bull. Lond. Math. Soc 23 (1) : 67 ~ 74
D. Klain / 2007 / Bonnesen-type inequalities for surfaces of constant curvature / Adv. in Appl. Math 39 (2) : 143 ~ 154
D. Ren / 1994 / Topics in Integral Geometry / World Scientific
H. Flanders / 1968 / A proof of Minkowski’s inequality for convex curves / Amer. Math. Monthly 75 (6) : 581 ~ 593
H. Groemer / 1991 / Stability estimates for some geometric inequalities / Bull. Lond. Math. Soc 23 (1) : 67 ~ 74
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
ON POLARS OF MIXED COMPLEX PROJECTION BODIES
대한수학회보
2015 .01
-
More on reverse of Holder's integral inequality
한국수학논문집
2020 .01
-
INEQUALITIES FOR INTEGRAL MEAN ESTIMATE OF POLYNOMIALS
Nonlinear Functional Analysis and Applications
2024 .03
-
ON CARLESON'S INEQUALITY II
충청수학회지
2018 .01
-
SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES
순수 및 응용수학
2018 .01
-
VOLUME INEQUALITIES FOR THE L p-SINE TRANSFORM OF ISOTROPIC MEASURES
대한수학회보
2015 .01
-
IMPROVED BOUNDS OF POLYNOMIAL INEQUALITIES WITH RESTRICTED ZERO
Nonlinear Functional Analysis and Applications
2023 .06
-
VARIATIONS ON THE CUSA-HUYGENS INEQUALITY
Advanced Studies in Contemporary Mathematics
2018 .01
-
NEW TYPE INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS WITH APPLICATIONS
Proceedings of the Jangjeon Mathematical Society
2018 .01
-
On some inequalities for numerical radius of operators in Hilbert spaces
한국수학논문집
2017 .06
-
CARATHÉODORY'S INEQUALITY ON THE BOUNDARY
순수 및 응용수학
2015 .01
-
On Renements of Holder's Inequality II
East Asian Mathematical Journal
2016 .01
-
DUNKEL TYPE INEQUALITIES INVOLVING HYPERBOLIC FUNCTIONS
Proceedings of the Jangjeon Mathematical Society
2018 .01
-
Inequalities concerning polynomial and its derivative
한국수학논문집
2021 .09
-
SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES VIA CONFORMABLE FRACTIONAL INTEGRALS CONCERNING TWICE DIFFERENTIABLE GENERALIZED RELATIVE SEMI-(r;m,p,q,h1,h2)-PREINVEX MAPPINGS
Nonlinear Functional Analysis and Applications
2018 .05
-
Extending and Refining Some Inequalities for the Beta Func tion in n Variables
Kyungpook Mathematical Journal
2021 .12
-
A Tur\'{a}n-type inequality for entire functions of exponential type
한국수학논문집
2022 .06
-
A Refinement of the Jensen-Simic-Mercer Inequality with Applications to Entropy
순수 및 응용수학
2022 .02
-
Applications of Taylor series for Carleman's inequality through Hardy inequality
한국수학논문집
2015 .01
-
Inf-sup method for establishing inequalities
Advanced Studies in Contemporary Mathematics
2022 .10
이 논문의 저자 정보
최근 본 자료
댓글(0)
0