Tiberiu Popoviciu

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Tiberiu Popoviciu
Tiberiu Popoviciu (1906-1975).jpg
Born(1906-02-16)February 16, 1906
DiedOctober 29, 1975(1975-10-29) (aged 69)
Nationality Romanian
Alma mater Paris-Sorbonne University, University of Bucharest
Known for Popoviciu's inequality
Popoviciu's inequality on variances
Scientific career
Fields Mathematics
Doctoral advisor Paul Montel
Doctoral students Elena Moldovan Popoviciu

Tiberiu Popoviciu (1906–1975) was a Romanian mathematician [1] and the namesake of Popoviciu's inequality and Popoviciu's inequality on variances.

Romania Sovereign state in Europe

Romania is a country located at the crossroads of Central, Eastern, and Southeastern Europe. It borders the Black Sea to the southeast, Bulgaria to the south, Ukraine to the north, Hungary to the west, Serbia to the southwest, and Moldova to the east. It has a predominantly temperate-continental climate. With a total area of 238,397 square kilometres (92,046 sq mi), Romania is the 12th largest country and also the 7th most populous member state of the European Union, having almost 20 million inhabitants. Its capital and largest city is Bucharest, and other major urban areas include Cluj-Napoca, Timișoara, Iași, Constanța, Craiova, and Brașov.

In convex analysis, Popoviciu's inequality is an inequality about convex functions. It is similar to Jensen's inequality and was found in 1965 by Tiberiu Popoviciu, a Romanian mathematician.

In probability theory, Popoviciu's inequality, named after Tiberiu Popoviciu, is an upper bound on the variance σ² of any bounded probability distribution. Let M and m be upper and lower bounds on the values of any random variable with a particular probability distribution. Then Popoviciu's inequality states:

The Tiberiu Popoviciu High School of Computer Science in Cluj-Napoca is named after him. [2]

Tiberiu Popoviciu High School of Computer Science high school

Tiberiu Popoviciu High School of Computer Science from Cluj-Napoca, Romania is a Romanian high school founded in 1971, together with three other similar high schools in Bucharest, Iaşi and Timişoara. From 1993 it holds the name of mathematician Tiberiu Popoviciu (1906–1975), known for establishing the academic field of computer science in Romania.

Cluj-Napoca City in Cluj County, Romania

Cluj-Napoca, commonly known as Cluj, is the fourth most populous city in Romania, and the seat of Cluj County in the northwestern part of the country. Geographically, it is roughly equidistant from Bucharest, Budapest and Belgrade. Located in the Someșul Mic river valley, the city is considered the unofficial capital to the historical province of Transylvania. From 1790 to 1848 and from 1861 to 1867, it was the official capital of the Grand Principality of Transylvania.

In 1951 he founded a research institute which now bears his name: Tiberiu Popoviciu Institute of Numerical Analysis.

In Romanian: Institutul de Calcul “Tiberiu Popoviciu” (ICTP)


He attended high school in Arad, the school which is now the Moise Nicoara National College. He graduated from the University of Bucharest, and got his doctorate in 1933 under Paul Montel from Paris-Sorbonne University. [3]

Arad, Romania Municipality in Arad County, Romania

Arad is the capital city of Arad County, historically situated in the region of Crișana, and having extended into the neighboring Banat region in the 20th century. Arad is the third largest city in Western Romania, behind Timișoara and Oradea, and the 12th largest in Romania, with a population of 159,704.

University of Bucharest University of Bucharest, Romania

The University of Bucharest, commonly known after its abbreviation UB in Romania, is a public university founded in 1864 by decree of Prince Alexandru Ioan Cuza to convert the former Saint Sava Academy into the current University of Bucharest, making it the second oldest modern university in Romania. It is one of the five members of the Universitaria Consortium.

Paul Antoine Aristide Montel was a French mathematician. He was born in Nice, France and died in Paris, France. He researched mostly on holomorphic functions in complex analysis.

Popoviciu was a lecturer at the Universities of Czernowitz, Bucharest and Iasi. In 1946 he was appointed professor at the University of Cluj. On June 4, 1937 Popoviciu was elected member of the Romanian Academy. In November 1948 he was elected corresponding member of the Academy. He became full member of the mathematical sciences section of the Academy on March 20, 1963.

Alexandru Ioan Cuza University university in Iași, Romania

The Alexandru Ioan Cuza University is a public university located in Iași, Romania. Founded one year after the establishment of the Romanian state, by an 1860 decree of Prince Alexandru Ioan Cuza, under whom the former Academia Mihăileană was converted to a university, the University of Iași, as it was named at first, is the oldest university of Romania, and one of its advanced research and education institutions. It is one of the five members of the Universitaria Consortium.

Babeș-Bolyai University university in Romania

The Babeș-Bolyai University, commonly known by its abbreviation, UBB, is a public university in Cluj-Napoca, Romania. With more than 41,000 students in 2015, it is the largest university in the country. The Babeș-Bolyai University offers study programmes in Romanian, Hungarian, German, English, and French. The university was named after two prominent scientists from Transylvania, the Romanian bacteriologist Victor Babeș and the Hungarian mathematician János Bolyai. It is one of the five members of the Universitaria Consortium.

He married his former student, Elena Moldovan Popoviciu, in 1964; she also became a notable functional analyst. [4]

Elena Moldovan Popoviciu (1924–2009) was a Romanian mathematician known for her work in functional analysis and specializing in generalizations of the concept of a convex function. She was a winner of the Simion Stoilow Prize in mathematics.

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  1. Breckner, Wolfgang, Profesor Tiberiu Popoviciu, Babeș-Bolyai University, Faculty of Mathematics and Informatics, retrieved 2015-04-19.
  2. Istoric, Tiberiu Popoviciu High School of Computer Science (in Romanian), retrieved 2015-04-19.
  3. Tiberiu Popoviciu at the Mathematics Genealogy Project
  4. O'Connor, John J.; Robertson, Edmund F., "Elena Moldovan Popoviciu", MacTutor History of Mathematics archive , University of St Andrews .