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NOTE ON DIFFERENT KINDS OF SCHUR CONVEXITIES OF HEINZ TYPE MEAN

K. M. Nagaraja|P. S. K. Reddy|K. Sridevi
장전수학회 (Jangjeon Mathematical Society)|2020.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제23권 제4호|pp. 479-484|DOI 10.17777/pjms.2020.23.4.004

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참고문헌

키워드

ConcavityHeinz type MeanGreek meansSchur
주제분류수학

초록

The Schur convexity of functions relating to special means is a very significant research subject and has attracted the interest of many mathematicians. In this note, a new family of one parameterized Heinz type mean is introduced and we discuss the different kinds of Schur convexity and concavity of Heinz type mean.

Abstract

The Schur convexity of functions relating to special means is a very significant research subject and has attracted the interest of many mathematicians. In this note, a new family of one parameterized Heinz type mean is introduced and we discuss the different kinds of Schur convexity and concavity of Heinz type mean.

참고문헌 (13)

  1. R. Bhatia, "Interpolating the arithmetic-geometric mean inequality and operator ver-sion", Linear Algebra Appl, 413, pp.355~363 (2006)
  2. A. M. Marshall, "Inequalites: Theory of Majorization and Its Application" (1979), Academies Press
  3. K. M. Nagaraja, "A simple proof on strengthening and extension of inequalitites", Advn. Stud. Contemp. Math, 17(1), pp.97~103 (2008)
  4. K. M. Nagaraja, "SCHUR CONVEXITIES OF rth OSCILLATORY MEAN AND ITS DUAL", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(3), pp.383~392 (2014), 장전수학회
  5. K. M. Nagaraja, "Logarithmic convexity of Double sequences", Sci. Magna, 7(2), pp.78~81 (2011)
  6. K. M. Nagaraja, "α-centroidal mean and its dual", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(2), pp.163~170 (2012), 장전수학회[DOI]
  7. K. M. Nagaraja, "A Note on power mean and generalized contra-harmonic mean", Sci. Magna, 8(3), pp.60~62 (2012)
  8. K. M. Nagaraja, "Stolarsky's extended family type mean values", Bull. of Pure & Appl. Math, 6(2), pp.255~264 (2012)
  9. Slavko Simic, "An extension of Stolarsky means", Novi Sad J. Math, 38(3), pp.81~89 (2008)
  10. Slavko Simic, "On weighted Stolarsky means", Sarajevo J. Math, 7(19), pp.3~9 (2011)
  11. "Greek means and Arithmetic and Geometric means" (2005)[URL]
  12. R. Webster, "Convexity" (1994), Oxford University Press
  13. X. M. Zang, "Geometrically Convex Functions" (2004), Anhui University Press

관련 논문AI추천

SCHUR CONVEXITIES OF rth OSCILLATORY MEAN AND ITS DUALK. M. Nagaraja, R. SAMPATHKUMAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제3호Schur convexity of $L$-conjugate means and its applicationsChun-Ru Fu, Dong-Sheng Wang, HUAN-NAN SHI대한수학회 · 대한수학회지2023 · 제60권 제3호Schur convexity of Bonferroni meansDONGSHENG WANG, HUAN-NAN SHI장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호Detectable means and applicationsMustapha Raıssouli대한수학회 · 대한수학회논문집2023 · 제38권 제1호SCHUR CONVEXITY AND CONCAVITY OF GNAN MEANK. M. Nagaraja, MURALI K, V. Lokesha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제3호THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONSZhen-Hang Yang대한수학회 · 대한수학회보2012 · 제49권 제1호

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