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In this paper, new improvement of celebrated H\"older inequality by means of isotonic linear functionals is established. An important feature of the new inequality obtained in here is that many existing inequalities related to the H\"older…

General Mathematics · Mathematics 2019-03-01 İmdat İşcan

The median principle is applied for different integral inequalities of Gruss and Ostrowski type.

Analysis of PDEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

A development of an inverse first-order divided difference operator for functions of several variables is presented. Two generalized derivative-free algorithms builded up from Ostrowski's method for solving systems of nonlinear equations…

Numerical Analysis · Mathematics 2011-10-12 Miquel Grau-Sánchez , Miquel Noguera , Sergio Amat

We obtain new inequalities with alternating signs of H\"{o}lder and Minkowski type.

Classical Analysis and ODEs · Mathematics 2015-06-10 Petr Chunaev

In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.

Classical Analysis and ODEs · Mathematics 2012-02-13 Mevlut Tunc

We use the definition of a fractional integral, recently proposed by Katugampola, to establish a generalization of the reverse Minkowski's inequality. We show two new theorems associated with this inequality, as well as state and show other…

Classical Analysis and ODEs · Mathematics 2017-05-23 J. Vanterler da C. Sousa , E. Capelas de Oliveira

The class of $\eta$-quasiconvex functions was introduced in 2016. Here we establish novel inequalities of Ostrowski type for functions whose second derivative, in absolute value raised to the power $q\geq 1$, is $\eta$-quasiconvex. Several…

Classical Analysis and ODEs · Mathematics 2019-09-20 Eze R. Nwaeze , Delfim F. M. Torres

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

Classical Analysis and ODEs · Mathematics 2013-10-04 Merve Avci Ardic

In this paper, we establish some integral ineuqalities for n- times differentiable quasi-convex functions.

Classical Analysis and ODEs · Mathematics 2013-11-25 Merve Avci Ardic

In this paper, we extend the weighted Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new Ostrowski type integral inequalities.

Classical Analysis and ODEs · Mathematics 2013-04-03 Mehmet Zeki Sarikaya , Hatice Yaldiz

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…

Classical Analysis and ODEs · Mathematics 2019-04-23 Robert E. Gaunt

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

General Mathematics · Mathematics 2009-08-21 Shaohua Zhang

In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives…

Classical Analysis and ODEs · Mathematics 2013-08-01 Imdat Iscan

In this paper, we obtain inequalities for some integrals involving the modified Lommel function of the first kind $t_{\mu,\nu}(x)$. In most cases, these inequalities are tight in certain limits. We also deduce a tight double inequality,…

Classical Analysis and ODEs · Mathematics 2019-12-09 Robert E. Gaunt

In this paper, we establish several new inequalities for twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya , A. Saglam , H. Yildirim

New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann…

Classical Analysis and ODEs · Mathematics 2012-08-09 Imdat Iscan

A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are provided.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

We obtain some new inequalities of Chebyshev Type.

Numerical Analysis · Mathematics 2016-10-03 Andriy L. Shidlich , Stanislav O. Chaichenko

In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2012-01-16 Mevlut Tunc , S. Ugur Kirmaci

Simple inequalities are established for integrals of the type $\int_0^x \mathrm{e}^{-\gamma t} t^{-\nu} \mathbf{L}_\nu(t)\,\mathrm{d}t$, where $x>0$, $0\leq\gamma<1$, $\nu>-\frac{3}{2}$ and $\mathbf{L}_{\nu}(x)$ is the modified Struve…

Classical Analysis and ODEs · Mathematics 2019-02-18 Robert E. Gaunt