Search results

Items from 1 to 12 out of 12 results

article

On some k-fractional integral inequalities of Hermite-Hadamard type for twice differentiable generalized beta (r, g)-preinvex functions

Artion Kashuri, Rozana Liko

Journal of Applied Analysis > 2019 > Vol. 25, nr 1 > 59--72

In the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized beta (r, g)-preinvex functions that are twice differentiable...

article

Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense

Badreddine Meftah, Abdourazek Souahi

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2019 > 18 > 67-83

In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s-preinvex in the second sense.

article

Fractional integral inequalities for composite and k-composite preinvex functions

A. Kashuri, R. Liko, S. Iqbal

Fasciculi Mathematici > 2019 > nr 62 > 57--79

In this article we found some Ostrowski inequalities for composite and k-composite preinvex functions via fractional integrals. Also some special cases will be given.

article

Some new Hermite-Hadamard type inequalities via k-fractional integrals concerning differentiable generalized relative semi-(r; m, p, q, h₁, h₂) -preinvex mappings

A. Kashuri, R. Liko

Fasciculi Mathematici > 2018 > Nr 60 > 59--78

In this article, we first presented a new identity concerning differentiable mappings defined on m-invex set via k-fractional integrals. By using the notion of generalized relative semi-(r; m,p, q, h₁, h₂)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard type inequalities via k-fractional integrals are established. It is pointed out...

article

Hermite-Hadamard type inequalities for MT_m-preinvex functions

A. Kashuri, R. Liko

Fasciculi Mathematici > 2017 > Nr 58 > 77--96

In the present paper, the notion of MT_m-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT_m-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for MT_m-preinvex functions via classical integrals and Riemann-Liouville fractional integrals...

article

On Hermite-Hadamard type inequalities for functions whose first derivative absolute values are convex and concave

S. Qaisar, S. Hussain

Fasciculi Mathematici > 2017 > Nr 58 > 155--166

In this paper, we derive general integral identity by establishing new Hermite-Hadamard type inequalities for functions whose absolute values of derivatives are convex and concave. Corresponding error estimates for midpoint formula are also included. Moreover, some applications to special means of real numbers are also provided.

article

Hermite-Hadamard type fractional integral inequalities for generalized (r; g,s,m,φ)-preinvex functions

A. Kashuri, R. Liko

Fasciculi Mathematici > 2017 > Nr 59 > 43--55

In the present paper, a new class of generalized (r; g, s, m, ϕ)-preinvex functions is introduced and some new integral inequalities for the left hand side of Gauss-Jacobi type quadrature formula involving generalized (r; g, s, m, ϕ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized (r; g, s, m, ϕ)-preinvex functions via Riemann-Liouville...

article

Some inequalities for the s-Godunova–Levin type functions

M. Emin Özdemir

Mathematical Sciences > 2015 > 9 > 1 > 27-32

In this paper, first, we obtained two new $$s$$ s -Godunova–Levin type inequalities about “the mean value Theorem for integrals”. Second, some inequalities were proved for mappings $$q$$ q th powers of first derivatives belonging to class $$Q_{s}(I)$$ Q s ( I ) using the Čebyšev’s inequality, H ölder inequality, Power mean inequality, and some other classical inequalities...

article

On the Circumradius of a Special Class of n-Simplices

Yu-Dong Wu, Zhi-Hua Zhang

Results in Mathematics > 2012 > 61 > 1-2 > 29-42

An n-simplex is called circumscriptible (or edge-incentric) if there is a sphere which is tangent to all its n(n + 1)/2 edges. We obtain a closed formula for the radius of the circumscribed sphere of a circumscriptible n-simplex, and we prove a double inequality involving the circumradius and the edge-inradius of such simplices. With these results a part of a problem posed by the authors is solved.

article

A generalization of van der Corput’s inequality

Feng Qi, Jian Cao, Da-Wei Niu

Applied Mathematics and Computation > 2008 > 203 > 2 > 770-777

In this article, van der Corput’s inequality is generalized by using the well known Euler–Maclaurin sum formula and other analytic techniques.

article

Some New Inverse-type HilbertPachpatte Integral Inequalities

Young Ho Kim

Acta Mathematica Sinica, English Series > 2004 > 20 > 1

In this paper, some new generalizations of inverse type Hilbert-Pachpatte integral inequalities are proved. The results of this paper reduce to those of Pachpatte (1998, J. Math. Anal. Appl.226, 166179) and Zhao and Debnath (2001, J. Math. Anal. Appl.262, 411418).

article

Some New Inverse-type Hilbert–Pachpatte Integral Inequalities

Young Ho Kim

Acta Mathematica Sinica, English Series > 2004 > 20 > 1 > 57-62

In this paper, some new generalizations of inverse type Hilbert-Pachpatte integral inequalities are proved. The results of this paper reduce to those of Pachpatte (1998, J. Math. Anal. Appl. 226, 166–179) and Zhao and Debnath (2001, J. Math. Anal. Appl. 262, 411–418).

Filter options

Publication date

Set your own date range

INFONA - science communication portal

Search results

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Content availability

Keywords

Data set

Reporting an error / abuse

Sending the report failed

Accessibility options