語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
New perspectives on the theory of in...
~
Irshad, Nazia.
New perspectives on the theory of inequalities for integral and sum
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
New perspectives on the theory of inequalities for integral and sumby Nazia Irshad ... [et al.].
其他作者:
Irshad, Nazia.
出版者:
Cham :Springer International Publishing :2021.
面頁冊數:
1 online resource (xiii, 308 p.) :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Inequalities (Mathematics)
電子資源:
https://doi.org/10.1007/978-3-030-90563-7
ISBN:
9783030905637$q(electronic bk.)
New perspectives on the theory of inequalities for integral and sum
New perspectives on the theory of inequalities for integral and sum
[electronic resource] /by Nazia Irshad ... [et al.]. - Cham :Springer International Publishing :2021. - 1 online resource (xiii, 308 p.) :ill., digital ;24 cm.
1 Linear Inequalities via Interpolation Polynomials and Green Functions -- 2 Ostrowski Inequality -- 3 Functions with Nondecreasing Increments -- 4 Popoviciu and Cebysev-Popoviciu Type Identities and Inequalities.
This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters. In the first chapter, linear inequalities via interpolation polynomials and green functions are discussed. New results related to Popoviciu type linear inequalities via extension of the Montgomery identity, the Taylor formula, Abel-Gontscharoff's interpolation polynomials, Hermite interpolation polynomials and the Fink identity with Green's functions, are presented. The second chapter is dedicated to Ostrowski's inequality and results with applications to numerical integration and probability theory. The third chapter deals with results involving functions with nondecreasing increments. Real life applications are discussed, as well as and connection of functions with nondecreasing increments together with many important concepts including arithmetic integral mean, wright convex functions, convex functions, nabla-convex functions, Jensen m-convex functions, m-convex functions, m-nabla-convex functions, k-monotonic functions, absolutely monotonic functions, completely monotonic functions, Laplace transform and exponentially convex functions, by using the finite difference operator of order m. The fourth chapter is mainly based on Popoviciu and Cebysev-Popoviciu type identities and inequalities. In this last chapter, the authors present results by using delta and nabla operators of higher order.
ISBN: 9783030905637$q(electronic bk.)
Standard No.: 10.1007/978-3-030-90563-7doiSubjects--Topical Terms:
183909
Inequalities (Mathematics)
LC Class. No.: QA295 / I77 2021
Dewey Class. No.: 512.97
New perspectives on the theory of inequalities for integral and sum
LDR
:02668nmm a2200325 a 4500
001
614859
003
DE-He213
005
20220329122527.0
006
m o d
007
cr nn 008maaau
008
220802s2021 sz s 0 eng d
020
$a
9783030905637$q(electronic bk.)
020
$a
9783030905620$q(paper)
024
7
$a
10.1007/978-3-030-90563-7
$2
doi
035
$a
978-3-030-90563-7
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA295
$b
I77 2021
072
7
$a
PBKB
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBKB
$2
thema
082
0 4
$a
512.97
$2
23
090
$a
QA295
$b
.N532 2021
245
0 0
$a
New perspectives on the theory of inequalities for integral and sum
$h
[electronic resource] /
$c
by Nazia Irshad ... [et al.].
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Birkhauser,
$c
2021.
300
$a
1 online resource (xiii, 308 p.) :
$b
ill., digital ;
$c
24 cm.
505
0
$a
1 Linear Inequalities via Interpolation Polynomials and Green Functions -- 2 Ostrowski Inequality -- 3 Functions with Nondecreasing Increments -- 4 Popoviciu and Cebysev-Popoviciu Type Identities and Inequalities.
520
$a
This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters. In the first chapter, linear inequalities via interpolation polynomials and green functions are discussed. New results related to Popoviciu type linear inequalities via extension of the Montgomery identity, the Taylor formula, Abel-Gontscharoff's interpolation polynomials, Hermite interpolation polynomials and the Fink identity with Green's functions, are presented. The second chapter is dedicated to Ostrowski's inequality and results with applications to numerical integration and probability theory. The third chapter deals with results involving functions with nondecreasing increments. Real life applications are discussed, as well as and connection of functions with nondecreasing increments together with many important concepts including arithmetic integral mean, wright convex functions, convex functions, nabla-convex functions, Jensen m-convex functions, m-convex functions, m-nabla-convex functions, k-monotonic functions, absolutely monotonic functions, completely monotonic functions, Laplace transform and exponentially convex functions, by using the finite difference operator of order m. The fourth chapter is mainly based on Popoviciu and Cebysev-Popoviciu type identities and inequalities. In this last chapter, the authors present results by using delta and nabla operators of higher order.
650
0
$a
Inequalities (Mathematics)
$3
183909
650
1 4
$a
Real Functions.
$3
273779
650
2 4
$a
Difference and Functional Equations.
$3
274826
700
1
$a
Irshad, Nazia.
$3
913367
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer Nature eBook
856
4 0
$u
https://doi.org/10.1007/978-3-030-90563-7
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000208158
電子館藏
1圖書
電子書
EB QA295 .N532 2021 2021
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
https://doi.org/10.1007/978-3-030-90563-7
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入