Lawyers for Tymoshenko applied to the court in the eastern town of Kharkiv, where the former prime minister is being held, to allow her to use a mobile telephone, have more visitors and take walks around the town.
"The defence's request cannot be satisfied," said Antonina Yurieva, the judge presiding the appeal.
Tymoshenko did not attend the hearing but journalists and supporters holding banners reading "Stop persecuting Yulia" packed out the courtroom.
The former prime minister was jailed in 2011 for seven years for abuse of power and has so far served a third of her sentence -- much of it in a guarded hospital facility due to back problems.
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President Viktor Yanukovych had been due to sign a historic trade pact with the European Union in November, and one of the key conditions for going ahead with the deal was allowing Tymoshenko to go abroad for treatment.
That move threw the ex-Soviet nation into its worst crisis since independence, sparking months of sustained demonstrations aimed at pressuring Yanukovych to step down.