Improved Hardy Inequality and Applications [PDF]
, 2015 [Fabricant Alexander; Фабрикант Александър]; [Kutev Nikolai; Кутев Николай]; [Rangelov Tsviatko; Рангелов Цвятко]2010 Mathematics Subject Classification ...
Rangelov, Tsviatko +2 more
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A new proof of Ackermann’s formula from control theory [PDF]
, 2017 This paper presents a novel proof for the well known Ackermann’s formula, related to pole placement in linear time invariant systems. The proof uses a lemma [3], concerning rank one updates for matrices, often used to efficiently compute the determinants.
COSTANDIN, Marius +2 more
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Montgomery identity and Ostrowski-type inequalities via quantum calculus
Open Mathematics, 2021 In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin +4 more
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On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
Open Mathematics, 2021 The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint ...
Ali Muhammad Aamir +4 more
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, 2022 In this work, we establish some new midpoint and trapezoidal type inequalities for prequasiinvex functions via the Katugampola fractional integrals. Some of the results obtained in this paper are generalizations of some earlier results in the literature.
NWAEZE, Eze R., KERMAUSUOR, Seth
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A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator [PDF]
, 2023 In this study, we first offer a novel integral identity using twice-differentiable convex mappings for the proportional Caputo-hybrid operator.
Demir, İzzettin
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Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means
Annales Mathematicae Silesianae, 2023 In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
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On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane
Open Mathematics, 2023 We establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane.
Jleli Mohamed, Samet Bessem
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Hermite-Hadamard type inequalities for product of GA-convex functions via Hadamard fractional integrals [PDF]
, 2017 In this paper, some Hermite-Hadamard type inequalities for products of two GA-convex functions via Hadamard fractional integrals are established. Our results about GA-convex functions are analogous generalizations for some other results proved by ...
KUNT, Mehmet, İȘCAN, İmdat
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Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa +4 more
wiley +1 more source