INEQUALITIES SIMILAR TO OPIAL'S INEQUALITY INVOLVING HIGHER ORDER DERIVATIVES

被引：0
作者：
Pachpatte, B. G.
机构：
[1] Aurangabad 431 001, (Maharashtra), Near Abhinay Talkies
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2005年 / 36卷 / 02期
关键词：
Opial's inequality; higher order derivatives; Taylor expansion; Schwarz inequality; weighted versions;
D O I：
10.5556/j.tkjm.36.2005.123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish some new inequalities similar to Opial's inequality involving functions and their higher order derivatives. The analysis used in the proofs is elementary and our results provide a new range of inequalities of this type.
引用
收藏
页码：111 / 117
页数：7
相关论文
共 50 条
[41]   Some Remarks on Multivalent Functions of Higher-order Derivatives [J].
Aouf, M. K. ;
Lashin, A. Y. .
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[42]   Distinguishing properties and applications of higher order derivatives of Boolean functions [J].
Duan, Ming ;
Yang, Mohan ;
Sun, Xiaorui ;
Zhu, Bo ;
Lai, Xuejia .
INFORMATION SCIENCES, 2014, 271 :224-235
[43]   Certain classes of multivalent functions defined with higher-order derivatives [J].
Aouf, Mohamed K. ;
Lashin, Abdel Moneim ;
Bulboaca, Teodor .
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (02) :712-727
[44]   Applications of Higher-Order Derivatives to the Subclasses of Meromorphic Starlike Functions [J].
Khan, Bilal ;
Srivastava, H. M. ;
Khan, Nazar ;
Darus, Maslina ;
Tahir, Muhmmad ;
Samad, Abdul .
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2021, 7 (01) :321-333
[45]   The Gruneisen parameter and its higher order derivatives for the Earth lower mantle and core [J].
Shanker, J. ;
Sunil, K. ;
Sharma, B. S. .
PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 2017, 262 :41-47
[46]   Zeros of the Higher-Order Derivatives of the Functions Belonging to the Extended Selberg Class [J].
Raivydas Šimėnas .
Lithuanian Mathematical Journal, 2021, 61 :87-95
[47]   Non-Standard Lagrangians with Higher-Order Derivatives and the Hamiltonian Formalism [J].
Rami Ahmad El-Nabulsi .
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015, 85 :247-252
[48]   Non-Standard Lagrangians with Higher-Order Derivatives and the Hamiltonian Formalism [J].
El-Nabulsi, Rami Ahmad .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2015, 85 (02) :247-252
[49]   On Certain Classes of Multivalent Analytic Functions Defined with Higher-Order Derivatives [J].
Lashin, Abdel Moneim Y. ;
El-Emam, Fatma Z. Z. .
MATHEMATICS, 2023, 11 (01)
[50]   Higher Order Derivatives: Improved Pre-Processing and Receivers for Molecular Communications [J].
Gursoy, Mustafa Can ;
Mitra, Urbashi .
2020 IEEE GLOBAL COMMUNICATIONS CONFERENCE (GLOBECOM), 2020,
12345