Results 41 to 50 of about 7,188,372 (121)
Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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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
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On Weighted Montgomery Identity for k Points and Its Associates on Time Scales
Abstract and Applied Analysis, 2017 The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality.
Eze R. Nwaeze, Ana M. Tameru
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New general Grüss-type inequalities over σ-finite measure space with applications
Advances in Difference Equations, 2020 In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal +5 more
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Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab +3 more
wiley +1 more source
A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
International Journal of Analysis and Applications, 2018 The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
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On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral‐type Hölder space Jα,β. The constructed model blends generalized fractional dynamics with proportional delay terms, offering a unified setting for studying systems with memory‐dependent behavior.
Mohamed M. A. Metwali +3 more
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Two New Sharp Ostrowski-Grüss Type Inequalities
Le Matematiche, 2013 The purpose of this paper is to use a variant of the Grüss inequality to derive two new sharp Ostrowski-Grüss type inequalities related to a perturbed trapezoidal type rule and a perturbed generalized interior point rule, respectively, which provide ...
Zheng Liu
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Novel Fractional Simpson–Mercer‐Type Inequalities and Their Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a Mercer‐type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer‐type inequalities for functions whose third derivatives satisfy convexity‐type assumptions in absolute value. Related estimates are also obtained under boundedness and Lipschitz continuity
Arslan Munir +6 more
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Generalized Steffensen’s inequality by Montgomery identity
Journal of Inequalities and Applications, 2019 By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality.
Saad Ihsan Butt +3 more
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