As the title suggests, the present dissertation deals with the refinements of Jensen- Steffensen and related inequalities. We extend some classical results and give some new refinements of several well known inequalities including Jensen’s inequality, Jensen- Steffensen inequality, Hermite-Hadamard inequality, majorization-type inequality, generalized weighted Favard and Berwald inequalities. We also provide the refine- ments of some companion inequalities to the Jensen’s inequality, namely Slater’s inequality and the inequalities obtained by M. Mati ́ and J. Peˇari ́ in [44]. We c c c sharpen the lower bounds of the Jensen’s functional. Some inequalities in terms of Gˆteaux derivatives for convex functions are also provided. Finally, we present not aonly the generalizations of Hardy-Littlewood-P ́lya inequality [26, Theorem 134] but o also generalizations of some results given in [8] and [36].
Chapters
Title |
Author |
Supervisor |
Degree |
Institute |
Title |
Author |
Supervisor |
Degree |
Institute |
Title |
Author |
Supervisor |
Degree |
Institute |
Title |
Author |
Supervisor |
Degree |
Institute |
Book |
Author(s) |
Year |
Publisher |
Book |
Author(s) |
Year |
Publisher |
Chapter |
Author(s) |
Book |
Book Authors |
Year |
Publisher |
Chapter |
Author(s) |
Book |
Book Authors |
Year |
Publisher |
Similar News
Headline |
Date |
News Paper |
Country |
Headline |
Date |
News Paper |
Country |
Similar Articles
Article Title |
Authors |
Journal |
Vol Info |
Language |
Article Title |
Authors |
Journal |
Vol Info |
Language |
Similar Article Headings
Heading |
Article Title |
Authors |
Journal |
Vol Info |
Heading |
Article Title |
Authors |
Journal |
Vol Info |