![]() |
[email protected] |
![]() |
3275638434 |
![]() |
![]() |
Paper Publishing WeChat |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Application Of Jessen’s Type Inequality For Positive C0-Semigroup Of Operators
Gul I Hina Aslam, Matloob Anwar
Full-Text PDF
XML 1264 Views
DOI:10.17265/2328-224X/2015.78.003
School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan.
Recently in [4], the
Jessen’s type inequality for normalized positive -semigroups is obtained. In this note, we present few
results of this inequality, yielding Hölder’s Type and Minkowski’s type
inequalities for corresponding semigroup. Moreover, a Dresher’s type inequality
for two-parameter family of means, is also proved.
Mean inequalities, Positive semigroup of operators, Hölder’s Type Inequality, Minkowski’s Type Inequality, Dresher’s Type Inequality
S. Abramovich, G. Farid, J. Pečarić, More about Jensen’s inequality and Cauchy’s means for superquadratic functions, J. Math. Inequal., 7(1)(2013), 11-24.
M. Anwar, J. Pečarić, M. Rodić Lipanović, Cauchy-Type Means for positive linear functionals, Tamkang J. Math. 42(24)(2011), 511-530.
P. R. Beesack, J. E. Pečarić, On Jessen’s Inequality For Convex Functions, J. Math. Analysis. Appl.110(1985), 536-552.
K. J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Springer 2000.
G. I Hina Aslam, M. Anwar,Jessen’s Type Inequality and Exponential Convexity For Operator Semigroups, Submitted to J. Inequal Appl. (2015).
Arif M. Khan, Amit Chouhan, Satish Saraswat,On Certain New Cauchy-Type Fractional Integral Inequalities And Opial-Type Fractional Derivative Inequalities, Tamkang. J. Math., 46(1)(2015), 67-73.
J. E. Pečarić, F. Proschan, Y. L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press, Inc. New York, 1992.
R. Nagel (ed.), One-parameter Semigroups of Positive Operators, Lect. Notes in Math., VOL. 1184, Springer-Verlag, 1986.
Z. Pavić, V. Novoselac, V. Pavić, Functional Form of the Jensen and the Hermite-Hadamard Inequality, Appl. Math. Sci., 9(4)(2015), 149-159.
A. H. Salas, The Exponential and Logarithmic Functions on Commutative Banach Algebras, Int. Journal of Math. Analysis, 4(42)(2010), 2079-2088.