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On a unified integral operator for φ-convex functionsopen accessOn a unified integral operator for<i>φ</i>-convex functions
- Other Titles
- On a unified integral operator for<i>φ</i>-convex functions
- Issue Date
- Jun-2020
- Publisher
- Hindawi Publishing Corporation
- Keywords
- Convex function; phi-convex function; Integral operators; Fractional integrals; Conformable fractional integrals; Bounds
- Citation
- Advances in Difference Equations, v.2020, no.1
- Indexed
- SCIE
SCOPUS
- Journal Title
- Advances in Difference Equations
- Volume
- 2020
- Number
- 1
- ISSN
- 1687-1839
1687-1847
- Abstract
- Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use phi-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds for symmetric phi-convex functions in the form of a Hadamard inequality. Also, for phi-convex functions, we obtain bounds of different known fractional and conformable fractional integrals. The results of this paper are applicable to convex functions.
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