Results 21 to 30 of about 174 (131)
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
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The 123 theorem of Probability Theory and Copositive Matrices
Special Matrices, 2014 Alon and Yuster give for independent identically distributed real or vector valued random variablesX, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derivethese using copositive matrices instead.
Kovačec Alexander +2 more
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Open Mathematics, 2022 In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J. +4 more
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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
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Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators
Advances in Nonlinear Analysis, 2016 We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
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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
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Opial type inequalities for double Riemann-Stieltjes integrals
Moroccan Journal of Pure and Applied Analysis, 2018 In this paper, we establish some Opial type inequalities for Riemann-Stieltjes integrals of functions with two variables. The obtained inequalities generalize those previously demonstrated (see [2])
Budak Hüseyin
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Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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Inequalities for Products of Two Kinds of Convexities and Consequent Results
Journal of Mathematics, Volume 2026, Issue 1, 2026.The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman +4 more
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Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati +4 more
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