Results 21 to 30 of about 77 (76)
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan +5 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
wiley +1 more source
Inequalities for Beta and Gamma functions via some classical and new integral inequalities
Journal of Inequalities and Applications, 2000 In this survey paper we present the natural applications of certain integral inequalities such as Chebychev's inequality for synchronous and asynchronous mappings, Hölder's inequality and Grüss' and Ostrowski's inequalities for the celebrated ...
Agarwal RP, Dragomir SS, Barnett NS
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On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)‐calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)‐derivatives and (p,q ...
Jen Chieh Lo, Lei Su
wiley +1 more source
Generalizations of weighted version of Ostrowski's inequality and some related results
Journal of Inequalities and Applications, 2000 We establish some new weighted integral identities and use them to prove a number of inequalities of Ostrowski type. Among other results, we generalize one result related to the weighted version of the Ostrowski's inequality of Pečarić and ...
Pečarić J +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız +4 more
wiley +1 more source
Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates
Moroccan Journal of Pure and Applied Analysis, 2018 In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed +4 more
wiley +1 more source
Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran +6 more
wiley +1 more source
A note on Ostrowski's inequality
Journal of Inequalities and Applications, 2005 This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary probability fields); (ii) the comparison is ...
Niculescu Constantin P, Florea Aurelia
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