Sherman's inequality and its converse for strongly convex functions with  applications to generalized  f  -divergences

Slavica İvelic BRADANOVIC

Makale detayları

Sherman's inequality and its converse for strongly convex functions with applications to generalized f -divergences

Yazarlar:

Slavica İvelic BRADANOVIC

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2680-2696

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745490

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Considering the weighted concept of majorization, Sherman obtained generalization of majorization inequality for convex functions known as Sherman's inequality. We extend Sherman's result to the class of n-strongly convex functions using extended idea of convexity to the class of strongly convex functions. We also obtain upper bound for Sherman's inequality, called the converse Sherman inequality, and as easy consequences we get Jensen's as well as majorization inequality and their conversions for strongly convex functions. Obtained results are stronger versions for analogous results for convex functions. As applications, we introduced a generalized concept of f-divergence and derived some reverse relations for such concept.

Makale detayları

Sherman's inequality and its converse for strongly convex functions with applications to generalized f -divergences

Yazarlar: Slavica İvelic BRADANOVIC

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2680-2696

Belge Tipi: Makale

Yayın Tarihi: 11/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745490

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Slavica İvelic BRADANOVIC

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2680-2696

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745490

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098