Fractional integration operator of variable order in the holder spaces<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$H^{\lambda \left( x \right)} $" id="E1"><mml:msup><mml:mi>H</mml:mi><mml:mrow><mml:mi>λ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:math>
International journal of mathematics and mathematical sciences