Results 31 to 40 of about 357 (173)
A new study on generalized absolute Cesàro summability methods
, 2021 In this paper, we have proved a known theorem dealing with ϕ — |C, α|k summability factors of infinite series under more weaker conditions. Also, some new results are obtained.
Bor, Hüseyin
core
Weighted Inequalities of Milne‐Type and Applications: Bridging Classical and Fractional Integrals
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this study, weighted Milne‐type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne‐type inequalities are presented for well‐known fractional integrals, such as Riemann–Liouville fractional integrals, conformable fractional integrals, and tempered fractional integrals.
Hüseyin Budak, Marko Kostic
wiley +1 more source
Some Hermite-Hadamard type inequalities for functions whose exponentials are convex [PDF]
, 2015 Some inequalities of Hermite-Hadamard type for functions whose ex- ponentials are convex are obtained.
GOMM, Ian, DRAGOMIR, Silvestru Sever
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Positivity of sums and integrals for n-convex functions via the Fink identity and new Green functions [PDF]
, 2021 We consider positivity of sum $\sum_{i=1}^np_if(x_i)$ involving convex functions of higher order. Analogous for integral $\int_a^bp(x)f(g(x))dx$ is also given.
KHAN, Asif R., PEˇČARI´Ć, Josip
core +1 more source
Milne‐Type Inequalities in the Context of Conformable Fractional Multiplicative Integrals
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper examines Milne inequalities in the setting of conformal fractional multiplicative integrals, which represent a modern extension of traditional fractional calculus. Drawing on advances in multiplicative analysis and non‐Newtonian calculus, we establish a new integral identity that forms the basis for deriving Milne‐type inequalities for ...
İrem Çay +3 more
wiley +1 more source
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
Ostrowski Type Inequalities over Spherical Shells [PDF]
, 2008 2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a ...
Anastassiou, George A.
core
Moroccan Journal of Pure and Applied Analysis, 2022 Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖
Anastassiou George A.
doaj +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, new lower and upper bounds for the left and right sides of Hermite–Hadamard inequalities involving multiplicative Riemann–Liouville fractional integrals are established by using functions whose second‐order multiplicative derivatives are bounded.
Hüseyin Budak +3 more
wiley +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In recent years, weighted inequalities for quasilinear integral operators with iterative structures have been extensively studied. The analysis reduces these inequalities to the study of Volterra operators with increasingly complex kernels and measures. This paper introduces a broader class of kernels, extending existing conditions.
Ryskul Oinarov +2 more
wiley +1 more source