In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most...

widely used inequalities in mathematics. The inequality for sums was published by Augustin-Louis Cauchy (1821). The corresponding inequality for integrals...

across different populations Inequality (mathematics), a relation between two values when they are different Educational inequality, the unequal distribution...

In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation...

In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the...

named mathematical inequalities. Agmon's inequality Askey–Gasper inequality Babenko–Beckner inequality Bernoulli's inequality Bernstein's inequality (mathematical...

In mathematical analysis, the Minkowski inequality establishes that the Lp spaces are normed vector spaces. Let S {\displaystyle S} be a measure space...

In mathematics, Young's convolution inequality is a mathematical inequality about the convolution of two functions, named after William Henry Young. In...

In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to...

In mathematics, Bernoulli's inequality (named after Jacob Bernoulli) is an inequality that approximates exponentiations of 1 + x {\displaystyle 1+x} ....

In mathematics, the QM-AM-GM-HM inequalities, also known as the mean inequality chain, state the relationship between the harmonic mean, geometric mean...

mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality...

In mathematics, Muirhead's inequality, named after Robert Franklin Muirhead, also known as the "bunching" method, generalizes the inequality of arithmetic...

Their Inequalities (Mathematics and Its Applications). Bullen, P. S. (2003). "Chapter III - The Power Means". Handbook of Means and Their Inequalities. Dordrecht...

In mathematics, Young's inequality for products is a mathematical inequality about the product of two numbers. The inequality is named after William Henry...

The less-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting...

P ( z ) | {\displaystyle \max _{|z|=1}|P(z)|} . In mathematical analysis, Bernstein's inequality states that on the complex plane, within the disk of...

In mathematics, the following inequality is known as Titu's lemma, Bergström's inequality, Engel's form or Sedrakyan's inequality, respectively, referring...

The greater-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting...

In mathematics, the isoperimetric inequality is a geometric inequality involving the perimeter of a set and its volume. In n {\displaystyle n} -dimensional...

In mathematics, Doob's martingale inequality, also known as Kolmogorov’s submartingale inequality is a result in the study of stochastic processes. It...

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length...

In mathematics, especially functional analysis, Bessel's inequality is a statement about the coefficients of an element x {\displaystyle x} in a Hilbert...

In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral...

In mathematics, the Kantorovich inequality is a particular case of the Cauchy–Schwarz inequality, which is itself a generalization of the triangle inequality...

In mathematics, there are many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator...

Look up ≤ in Wiktionary, the free dictionary. ≤ may refer to: Inequality (mathematics), relation between values; a ≤ b means "a is less than or equal...

In mathematics, Karamata's inequality, named after Jovan Karamata, also known as the majorization inequality, is a theorem in elementary algebra for convex...

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <...

In mathematics, Friedrichs's inequality is a theorem of functional analysis, due to Kurt Friedrichs. It places a bound on the Lp norm of a function using...