| Summary: | In this paper, we present some new refinements of Hermite–Hadamard inequalities for continuous convex functions by using <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-calculus. Moreover, we study some new <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-Hermite–Hadamard inequalities for multiple integrals. Many results given in this paper provide extensions of others given in previous research.
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