On Fejér’s inequality: generalizations and applications
On Fejér’s inequality: generalizations and applications
Abstract This paper deals with generalizations and refinements of Fejér’s inequality with some new applications. We introduce a real mapping $\mathcal{M}_{f}^{\omega}(t)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>M</mml:mi><mml:mi>f</mml:mi><mml:mi>ω</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:math> and obtain some its functional properties. We present several inequalities in connection with fractional integrals and their refinements by monotone functions. We also give some inequalities related …