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We use reproducing kernel Hilbert spaces to give the best approximation for Laguerre-type Weierstrass transform. Estimates of extremal functions are also discussed

international journal of mathematics and mathematical sciences

Best approximations for the Laguerre-type Weierstrass transform on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$[0, \infty[\times\mathbb{R}$" id="E1"><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi>∞</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mo>×</mml:mo><mml:mi>ℝ</mml:mi></mml:mrow></mml:mrow></mml:mrow></mml:mrow></mml:math>

Best approximations for the Laguerre-type Weierstrass transform on[0,∞[×ℝ