On a unified integral operator for φ-convex functions
Autor: | Moquddsa Zahra, Ghulam Farid, Shin Min Kang, Young Chel Kwun, Saira Zainab |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Integral operators
Pure mathematics Algebra and Number Theory Partial differential equation Functional analysis Applied Mathematics lcsh:Mathematics φ-convex function Fractional integrals Hadamard inequality Conformable matrix lcsh:QA1-939 Upper and lower bounds Operator (computer programming) Convex function Bounds Ordinary differential equation Analysis Conformable fractional integrals Mathematics |
Zdroj: | Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020) |
ISSN: | 1687-1847 |
Popis: | Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds for symmetric φ-convex functions in the form of a Hadamard inequality. Also, for φ-convex functions, we obtain bounds of different known fractional and conformable fractional integrals. The results of this paper are applicable to convex functions. |
Databáze: | OpenAIRE |
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