Journal
SYMMETRY-BASEL
Volume 14, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/sym14112268
Keywords
Hermite-Hadamard inequality; convex function; harmonic convex function; Fejer inequality
Categories
Funding
- King Faisal University under the Ambitious Researcher Track [GRANT694]
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This paper introduces mappings related to Fejer-type inequalities for harmonically convex functions defined on [0,1], and obtains companions of Fejer-type inequalities for harmonically convex functions using these mappings. The properties of these mappings are discussed, leading to refinement inequalities of some known results.
In this paper, we present some mappings defined over [0,1] related to the Fejer-type inequalities that have been established for harmonically convex functions. As a consequence, we obtain companions of Fejer-type inequalities for harmonically convex functions by using these mappings. Properties of these mappings are discussed, and consequently, we obtain refinement inequalities of some known results.
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