VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA ISTORIYA-TOMSK STATE UNIVERSITY JOURNAL OF HISTORY.
TOMSK STATE UNIV.
Vol. 52.
2018.
P. 161-163
MAJORIZATION INEQUALITIES VIA PEANO'S REPRESENTATION OF HERMITE'S POLYNOMIAL
The Peano's representation of Hermite polynomial and new Green functions are used to construct the identities related to the generalization of majorization type inequalities in discrete as well as continuous case. Cebysev functional is used to find the bounds for new generalized identities and to develop the Gruss and Ostrowski type inequalities. Further more, we present exponential convexity together with Cauchy means for linear functionals associated with the obtained inequalities and give some applications.
Authors
Latif N.1
,
Siddique N.2
,
Pecaric J.
3,
4
Publisher
ETAMATHS PUBL
Number of issue
3
Language
English
Pages
374-399
Status
Published
Link
Volume
16
Year
2018
Organizations
- 1 Jubail Ind Coll, Dept Gen Studies, Jubail Ind City 31961, Saudi Arabia
- 2 Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan
- 3 Univ Zagreb, Fac Text Technol Zagreb, Prilaz Baruna Filipovica 28A, Zagreb 10000, Croatia
- 4 RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia
Keywords
classical majorization theorem; Fuchs's thorem; Peano's representation of Hermite's polynomial; Green function for 'two point right focal' problem; Cebysev functional; Gruss type upper bounds; Ostrowski-type bounds; n-exponentially convex function; mean value theorems; Stolarsky type means
Date of creation
19.10.2018
Date of change
18.02.2019
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COUNSELING PSYCHOLOGY AND PSYCHOTHERAPY.
MOSCOW STATE UNIV PSYCHOLOGY & EDUCATION.
Vol. 26.
2018.
P. 7-28