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Generalization of majorization theorem via Abel-Gontscharoff polynomial

Muhammad Adil Khan ; Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
Naveed Latif ; Department of Mathematics, Govt. College University, Faisalabad 38000, Pakistan
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia


Puni tekst: engleski pdf 260 Kb

str. 91-116

preuzimanja: 1.171

citiraj


Sažetak

In this paper we use Abel-Gontscharoff formula and Green function to give some identities for the difference of majorization inequality and present the generalization of majorization theorem for the class of n-convex. We use inequalities for the Čebyšev functional to obtain bounds for the identities related to generalizations of majorization inequalities. We present mean value theorems and n-exponential convexity for the functional obtained from the generalized majorization inequalities. At the end we discuss the results for particular families of functions and give means.

Ključne riječi

Majorization inequality, Abel-Gontscharoff formula, Čebyšev functional, Ostrowski-type inequality, n-exponential convexity

Hrčak ID:

145098

URI

https://hrcak.srce.hr/145098

Posjeta: 1.475 *