NEW MEANS AND ITS PROPERTIES
0
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
The object of this paper is to introduce three new means on the basis of proportions and its dual forms, study certain properties, monotonicities and new inequalities involving them. Further, we de ned weighted three new means and its dual form, its properties are stated and deduced the ten Neo-Pythagorean means, weighted rth Oscillatory mean, weighted rth Oscillatory mean, also some familiar means and various other means.
Abstract
The object of this paper is to introduce three new means on the basis of proportions and its dual forms, study certain properties, monotonicities and new inequalities involving them. Further, we de ned weighted three new means and its dual form, its properties are stated and deduced the ten Neo-Pythagorean means, weighted rth Oscillatory mean, weighted rth Oscillatory mean, also some familiar means and various other means.
참고문헌 (10)
- P.S. Bullen, "Handbook of Means and Their Inequalities" (2003), Kluwer Acad. Publ.
- V. Lokesha, "rth Oscillatory mean for several positive arguments", Journal of ultra scientist for Physical sciences, 18(3), pp.519~522 (2006)
- V. Lokesha, "Relation between series and important means", Advances in theoretical and Ap-plied mathematics, 2(1), pp.31~35 (2007)
- V. Lokesha, "Relation between Greek means and various other means", General Mathematics, 17(3), pp.3~13 (2009)
- V. Lokesha, "Gnan mean for two variables", Far East Journal of Mathematics, 31(2), pp.263~272 (2008)
- K. M. Nagaraja, "A simple proof strengthening and extension of inequalities", Advanced Studies in Contemporary Mathematics, 17(1), pp.97~103 (2008), 장전수학회
- K.M. Nagaraja, "Gnan mean in 'n' variables and its monotonic-ities", IJPAM
- S. Padmanabhan, "Oscillatory mean for several positive arguments", Jour-nal of intelligent system research, 2(2), pp.137~139 (2008)
- G. Toader, "New properties of some mean values", J. Math. Anal. Appl, 232(2), pp.376~383 (1999)
- G. Toader, "Greek means and Arithmetic and Geometric mean" (2005), RGMIA Monograph Australia