|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910558484803321 |
|
|
Titolo |
New perspectives on the theory of inequalities for integral and sum / / Nazia Irshad [and three others] |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham, Switzerland : , : Springer International Publishing, , [2022] |
|
©2022 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (319 pages) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Inequalities (Mathematics) |
Inequalities (Mathematics) - Data processing |
Desigualtats (Matemàtica) |
Llibres electrònics |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di contenuto |
|
Intro -- Preface -- Contents -- Notations and Terminologies -- 1 Linear Inequalities via Interpolation Polynomials and Green Functions -- 1.1 Linear Inequalities and the Extension of Montgomery Identity with New Green Functions -- 1.1.1 Results Obtained by the Extension of Montgomery Identity and New Green Functions -- 1.1.2 Inequalities for n-Convex Functions at a Point -- 1.1.3 Bounds for Remainders and Functionals -- 1.1.4 Mean Value Theorems -- 1.2 Linear Inequalities and the Taylor Formula with New Green Functions -- 1.2.1 Results Obtained by the Taylor Formula and New Green Functions -- 1.2.2 Inequalities for n-Convex Functions at a Point -- 1.2.3 Bounds for Remainders and Functionals -- 1.2.4 Mean Value Theorems and Exponential Convexity -- Mean Value Theorems -- Logarithmically Convex Functions -- n-Exponentially Convex Functions -- 1.2.5 Examples with Applications -- 1.3 Linear Inequalities and Hermite Interpolation with New Green Functions -- 1.3.1 Results Obtained by the Hermite Interpolation Polynomial and Green Functions -- 1.3.2 Inequalities for n-Convex Functions at a Point -- 1.3.3 Bounds for Remainders and Functionals -- 1.4 Linear Inequalities and the Fink Identity with New Green Functions -- 1.4.1 Results Obtained by the |
|
|
|
|