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2 2 $begingroup$ Suppose that a continuous function $f : [0,1] to mathbb{R}_+$ satisfies the following property for all $x in [0,1]$ : $$ f(x) = frac{3}{2} fleft(frac{3}{4} xright) - frac{1}{2} fleft(frac{1}{2} xright). $$ For example: this is clearly satisfied when $f(x) =c = frac{3}{2}c-frac{1}{2}c$ . Are there other functions that satisfy this property? functional-analysis functions share | cite | improve this question asked Jan 2 at 18:15 TomH TomH 132 13 $endgroup$

Lysias Anicetus From Wikipedia, the free encyclopedia Jump to navigation Jump to search For other people named Lysias, see Lysias (disambiguation). Lysias Anicetus "Invincible" Portrait of Lysias Indo-Greek king Reign 130–120 BCE Coin of king Lysias (r. c. 120–110 BCE). Obv. King Lysias with elephant head. Greek legend BASILEOS ANIKETOU LYSIOU "Of Invincible King Lysias". Rev. Nude Herakles standing facing, crowning himself, holding club, lion's skin, and palm (variation of Demetrius I type. Monograms. Kharoshti legend, translation of the Greek. Lysias Anicetus (Greek: Λυσίας ὁ Ἀνίκητος ; epithet means "the Invincible") was an Indo-Greek king. Contents 1 Time of reign 2 Coin types 3 "Mule coins" (overstrikes) 4 See also 5 References 6 External links Time of reign [ edit ] According to numismatist Bopearachchi, Lysias was