Results 51 to 60 of about 468,680 (130)

Refinements of some Hardy–Littlewood–Pólya type inequalities via Green’s functions and Fink’s identity and related results

Journal of Inequalities and Applications, 2020
In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
doaj   +1 more source

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, Bandar Alreshidi, Shami A. M. Alsallami, Smritijit Sen   +3 more
wiley   +1 more source

INTRODUCTION: THE IMPLICATED SUBJECT IN POST‐1945 GERMAN‐LANGUAGE LITERATURE

German Life and Letters, Volume 79, Issue 4, Page 445-452, October 2026.
Karin Bauer, Anke Biendarra
wiley   +1 more source

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, Hüseyin Budak, Artion Kashuri, Mohammed Rabih, Fatih Hezenci, Muhammad Muawwaz, Smritijit Sen   +6 more
wiley   +1 more source

Properties and Applications of Symmetric Quantum Calculus

Fractal and Fractional
Symmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez, Muhammad Zakria Javed, Muhammad Uzair Awan, Silvestru Sever Dragomir, Ahmed M. Zidan   +4 more
doaj   +1 more source

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
doaj   +1 more source

Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity

Journal of Inequalities and Applications, 2018
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Nasir Mehmood, Saad Ihsan Butt, László Horváth, Josip Pečarić   +3 more
doaj   +1 more source

A Unified Sharp Integral Inequality With Applications to Trapezoid, Mid‐Point, and Simpson‐Type Inequalities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar, Mohsen Kian, Smritijit Sen   +2 more
wiley   +1 more source

Generalizations of Ostrowski type inequalities via Hermite polynomials

Journal of Inequalities and Applications, 2020
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić, Josip Pečarić, Mihaela Ribičić Penava   +2 more
doaj   +1 more source

‘In a village, everybody knows the stranger’: Constructing local belonging of refugees in rural areas in Germany

Sociologia Ruralis, Volume 65, Issue 1, January 2025.
Abstract This article explores the local belonging of refugees in rural areas in Germany from the perspectives of both migrants and local integration actors. It analyses the development of a personal sense of belonging and the construction of the politics of belonging, with the aim of understanding belonging as a socio‐spatial process.
Hanne Schneider
wiley   +1 more source