On generalized strongly modified h-convex functions

We derive some properties and results for a new extended class of convex functions, generalized strongly modified h -convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properti...

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Vydáno v:Journal of inequalities and applications Ročník 2020; číslo 1; s. 1 - 12
Hlavní autoři: Zhao, Taiyin, Saleem, Muhammad Shoaib, Nazeer, Waqas, Bashir, Imran, Hussain, Ijaz
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 15.01.2020
Springer Nature B.V
SpringerOpen
Témata:
Analysis
Applications of Mathematics
Convex analysis
Fejér-type inequality
h-convex function
Hermite–Hadamard inequality
Mathematics
Mathematics and Statistics
Modified h-convex function
Schur-type inequality
convex function
Hermite–Hadamard inequality
Modified
Fejér-type inequality
Schur-type inequality
ISSN:1029-242X, 1025-5834, 1029-242X
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Popis
Shrnutí:We derive some properties and results for a new extended class of convex functions, generalized strongly modified h -convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-2281-6