Related papers: A new inequality involving primes

We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.

Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

In this paper, new sharpened Huygens type inequalities involving Bessel and modified Bessel functions of the first kinds are established

In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.

In the present work we give several new integral inequalities of the type Riemann-Liouville fractional integral via Montgomery identities integrals.

Equivalencies of many basic elementary inequalities are given

By use of a modified Nunokawa's lemma, we obtain some new conditions for univalence. Also, some sharp inequalities concerning univalent functions are presented.

We improve constants in the Rademacher-Menchov inequality.

New lower bounds involving sum, difference, product, and ratio sets for $A\subset \C$ are given.

We show that an inequality related to Newton's inequality provides one more relation between skewness and kurtosis. This also gives simple and alternative proofs of the bounds for skewness and kurtosis.

We provide a new characterization of the logarithmic Sobolev inequality.

In this letter, we prove an inequality involving alternating binomial logarithmic sums by exploiting the variance of the logarithm of the maximum of independent and identically distributed exponential random variables. This inequality was…

We improve a result of Bennett concerning certain sequences involving sums of powers of positive integers.

New cases of the multiplicity conjecture are considered.

In this paper we present a new approach to proving some exponential inequalities involving the sinc function. Power series expansions are used to generate new polynomial inequalities that are sufficient to prove the given exponential…

In this paper we present 43 new inequalities related to integer part and fractional part.

We give a new bound of concurrence.

We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators related to the matrix order and the Jensen inequality.…

In this paper we will study the equivalence between super-Poincar\'e inequality and some log-Sobolev type inequalities, including weak log-Sobolev inequality and super log-Sobolev inequality. The explicit relations between associated rate…

Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases these inequalities are tight in certain limits. As a consequence, we deduce a tight double…