Back to Search
Start Over
Trapezium-Type Inequalities for k-Fractional Integral via New Exponential-Type Convexity and Their Applications
- Source :
- Journal of Mathematics, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi Limited, 2020.
-
Abstract
- In this paper, the authors investigated the concept of s , m -exponential-type convex functions and their algebraic properties. New generalizations of Hermite–Hadamard-type inequality for the s , m -exponential-type convex function ψ and for the products of two s , m -exponential-type convex functions ψ and ϕ are proved. Many refinements of the (H–H) inequality via s , m -exponential-type convex are obtained. Finally, several new bounds for special means and new error estimates for the trapezoidal and midpoint formula are provided as well. The ideas and techniques of this paper may stimulate further research in different areas of pure and applied sciences.
- Subjects :
- Algebraic properties
Pure mathematics
Article Subject
Inequality
General Mathematics
media_common.quotation_subject
010102 general mathematics
MathematicsofComputing_GENERAL
Regular polygon
Type (model theory)
01 natural sciences
Midpoint
Convexity
Exponential type
010101 applied mathematics
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
QA1-939
0101 mathematics
Convex function
Mathematics
media_common
Subjects
Details
- Language :
- English
- ISSN :
- 23144785 and 23144629
- Volume :
- 2020
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....56273f5d8c30f475f31f683382557558