INEQUALITIES FOR SOME CLASSICAL INTEGRAL TRANSFORMS

被引:1
作者
Bhandari, Piyush Kumar [1 ]
Bissu, Sushil Kumar [2 ]
机构
[1] Shrinathji Inst Technol & Engn, Dept Math, Nathdwara 313301, Rajasthan, India
[2] Govt Coll Ajmer, Dept Math, Ajmer 305004, Rajasthan, India
来源
TAMKANG JOURNAL OF MATHEMATICS | 2016年 / 47卷 / 03期
关键词
A formofCauchy-Bunyakovsky-Schwarz inequality; Laplace transform; Fourier transform; convolution theorem; Mellin transformand Hankel transform;
D O I
10.5556/j.tkjm.47.2016.1981
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using a form of the Cauchy-Bunyakovsky-Schwarz inequality, we establish new inequalities for some classical integral transforms such as Laplace transform, Fourier transform, Fourier cosine transform, Fourier sine transform, Mellin transform and Hankel transform.
引用
收藏
页码:351 / 356
页数:6
相关论文
共 10 条
[1]  
Abramowitz M., 1965, HDB MATH FUNCTIONS F
[2]   On the Cauchy-Schwarz inequality [J].
Alzer, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 234 (01) :6-14
[3]   GENERALIZATION OF CAUCHY-SCHWARZ INEQUALITY [J].
CALLEBAUT, DK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1965, 12 (03) :491-+
[4]  
Laforgia A., 2006, J INEQUAL PURE APPL, V27
[5]   A functional generalization of the Cauchy-Schwarz inequality and some subclasses [J].
Masjed-Jamei, Mohammad .
APPLIED MATHEMATICS LETTERS, 2009, 22 (09) :1335-1339
[6]   Some generalizations of the Cauchy-Schwarz and the Cauchy-Bunyakovsky inequalities involving four free parameters and their applications [J].
Masjed-Jamei, Mohammad ;
Dragomir, Sever S. ;
Srivastava, H. M. .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (9-10) :1960-1968
[7]  
Mitrinovic D.S., 1993, CLASSICAL NEW INEQUA
[8]   NEW INEQUALITIES FOR SOME SPECIAL FUNCTIONS VIA THE CAUCHY-BUNIAKOVSKY-SCHWARZ INEQUALITY [J].
Mortici, Cristinel .
TAMKANG JOURNAL OF MATHEMATICS, 2011, 42 (01) :53-57
[9]   ON A GENERALIZATION OF CAUCHY-SCHWARZ INEQUALITY [J].
STEIGER, WL .
AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (07) :815-&
[10]   Remark on a refinement of the Cauchy-Schwarz inequality [J].
Zheng, L .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 218 (01) :13-21