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This Special Issue brings together original research papers, in all areas of mathematics, that are concerned with inequalities or the role of inequalities. The research results presented in this Special Issue are related to improvements in classical inequalities, highlighting their applications and promoting an exchange of ideas between mathematicians from many parts of the world dedicated to the theory of inequalities. This volume will be of interest to mathematicians specializing in inequality theory and beyond. Many of the studies presented here can be very useful in demonstrating new results. It is our great pleasure to publish this book. All contents were peer-reviewed by multiple referees and published as papers in our Special Issue in the journal Symmetry. These studies give new and interesting results in mathematical inequalities enabling readers to obtain the latest developments in the fields of mathematical inequalities. Finally, we would like to thank all the authors who have published their valuable work in this Special Issue. We would also like to thank the editors of the journal Symmetry for their help in making this volume, especially Mrs. Teresa Yu.

Ostrowski inequality --- Hölder’s inequality --- power mean integral inequality --- n-polynomial exponentially s-convex function --- weight coefficient --- Euler–Maclaurin summation formula --- Abel’s partial summation formula --- half-discrete Hilbert-type inequality --- upper limit function --- Hermite–Hadamard inequality --- (p, q)-calculus --- convex functions --- trapezoid-type inequality --- fractional integrals --- functions of bounded variations --- (p,q)-integral --- post quantum calculus --- convex function --- a priori bounds --- 2D primitive equations --- continuous dependence --- heat source --- Jensen functional --- A-G-H inequalities --- global bounds --- power means --- Simpson-type inequalities --- thermoelastic plate --- Phragmén-Lindelöf alternative --- Saint-Venant principle --- biharmonic equation --- symmetric function --- Schur-convexity --- inequality --- special means --- Shannon entropy --- Tsallis entropy --- Fermi–Dirac entropy --- Bose–Einstein entropy --- arithmetic mean --- geometric mean --- Young’s inequality --- Simpson’s inequalities --- post-quantum calculus --- spatial decay estimates --- Brinkman equations --- midpoint and trapezoidal inequality --- Simpson’s inequality --- harmonically convex functions --- Simpson inequality --- (n,m)–generalized convexity --- n/a --- Hölder's inequality --- Euler-Maclaurin summation formula --- Abel's partial summation formula --- Hermite-Hadamard inequality --- Phragmén-Lindelöf alternative --- Fermi-Dirac entropy --- Bose-Einstein entropy --- Young's inequality --- Simpson's inequalities --- Simpson's inequality --- (n,m)-generalized convexity

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A Yorta Yorta man’s seventy-three-year search for the story of his Aboriginal and Indian ancestors including his Indian Grampa who, as a real mystery man, came to Yorta Yorta country in Australia, from Mauritius, in 1881 and went on to leave an incredible legacy for Aboriginal Australia. This story is written through George Nelson’s eyes, life and experiences, from the time of his earliest memory, to his marriage to his sweetheart Brenda, through to his journey to Mauritius at the age of seventy-three, to the production of this wonderful story in the present.

Ethnic & Race Studies --- Gender & Ethnic Studies --- Social Sciences --- East Indians --- Asian Indians --- Indians, East --- Indic peoples --- Ethnology --- Nelson, George Edward --- Family. --- Aboriginal Australians. --- Aboriginals, Australian --- Aborigines, Australian --- Australian aboriginal people --- Australian aboriginals --- Australian aborigines --- Australians, Aboriginal --- Australians, Native (Aboriginal Australians) --- Native Australians (Aboriginal Australians) --- Indigenous peoples --- Indians (India) --- australia --- aboriginal --- indian --- ancestors --- mauritius --- Barmah --- Family (biology) --- Grampa Simpson

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Plants grown and exposed to Mediterranean climatic conditions are a source of information of a natural heritage. Mediterranean plants have been presented as vehicles for expressing historical knowledge and environmental attributes; scientific reports have given us important insights into plant growth, structure, and function. With the current environmental and social threats, mainly posed by expanding touristic and anthropogenic activities, the importance of Mediterranean plants will once again be appreciated. In this book, the function, structure, diversity, biogeography, conservation, seasonality, and interactions of Mediterranean plants with the abiotic and biotic environment are highlighted.

Research & information: general --- Biology, life sciences --- Helichrysum italicum --- biological activity --- internal use --- clinical studies --- hualo --- Mediterranean plants --- seeds --- remote sensing --- MODIS --- enhanced vegetation index --- temperature --- precipitation --- rain days --- inter-annual variability --- time-series --- machine learning --- climate change --- Mediterranean --- nursery production --- water imbibition --- Mediterranean climate --- elongation --- allelochemicals --- specific activity --- phytotoxicity --- aridity index --- effective number of species --- Shannon entropy --- richness --- Gini–Simpson --- water potential --- stomatal conductance --- transpiration --- leaf hydraulic conductance --- drought --- Cyclamen graecum --- geophyte --- phenology --- seasonality --- neglected and underutilized plants --- phytogenetic resources --- DNA barcoding --- forest berries --- protocols --- nutraceutical potential --- genotype selection --- multifaceted evaluation

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This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Stancu-type Bernstein operators --- Bézier bases --- Voronovskaja-type theorems --- modulus of continuity --- rate of convergence --- bivariate operators --- approximation properties --- statistical convergence --- P-convergent --- statistically and relatively modular deferred-weighted summability --- relatively modular deferred-weighted statistical convergence --- Korovkin-type approximation theorem --- modular space --- convex space --- N-quasi convex modular --- N-quasi semi-convex modular --- vehicle collaborative content downloading --- fuzzy comprehensive evaluation --- VANET --- delay differential equations --- integral operator --- periodic solutions --- subordinations --- exponential function --- Hankel determinant --- fractional differential equations with input --- Mittag-Leffler stability --- left generalized fractional derivative --- ρ-Laplace transforms --- functional integral equations --- Banach algebra --- fixed point theorem --- measure of noncompactness --- Geometric Function Theory --- q-integral operator --- q-starlike functions of complex order --- q-convex functions of complex order --- (δ,q)-neighborhood --- meromorphic multivalent starlike functions --- subordination --- univalent function --- symmetric differential operator --- unit disk --- analytic function --- analytic functions --- conic region --- Hadamard product --- differential subordination --- differential superordination --- generalized fractional differintegral operator --- Convex function --- Simpson’s rule --- differentiable function --- weights --- positive integral operators --- convolution operators --- n/a --- Bézier bases --- Simpson's rule

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Coastal dunes are known for their functions in ecological systems in addition to their aesthetic qualities, providing a highly valuable and unique habitat due to their biodiversity of flora and fauna. They also represent the boundary between land and sea, acting as a protective natural barrier against flooding due to storm surges and wave action. Beach–dune systems are highly dynamic features whose evolution is primarily determined by the mutual and complex exchange of sand through hydrodynamic and eolian processes. The sustainable and resilient conservation of beach–dune (eco)systems in a changing climate requires important insights from multidisciplinary studies and approaches. Toward this vision, this Special Issue is dedicated to collecting original scientific contributions based on field observations, laboratory experiments, and/or numerical models.

Technology: general issues --- History of engineering & technology --- coastal storms --- tropical cyclones --- coastal hazards --- incipient foredunes --- Saffir-Simpson Hurricane Wind Scale --- Isle of Palms --- South Carolina --- numerical modeling --- XBeach --- morphodynamic --- dune --- beach --- synthetic storm --- antecedent topography --- uncertainty --- time and space variograms --- intertidal barred beach morphology --- stochastic modeling --- space-time covariance model --- data-based modeling --- dune growth --- storm recovery --- barrier island --- Dauphin Island --- aeolian sediment transport --- wind flow --- field experiments --- nature-based solutions --- sand trapping fences --- erosion --- vulnerability --- eco-recovery --- colloidal nanosilica --- sediment transport --- laboratory experiments --- longevity --- resistance --- erosion potential --- dune erosion --- CART analysis --- New Jersey --- dune systems --- anthropogenic pressure --- shoreline changes --- coastal erosion --- historical cartography --- satellite imagery --- QGIS --- Calabria --- airflow around buildings --- erosion and deposition patterns --- beach structures --- computational fluid dynamics (CFD) --- wave climate --- sea storms --- longshore transport --- river transport --- fragility curves --- probabilistic dune response --- wave–beach/dune interaction --- resilience --- adaptation --- hybrid approaches --- n/a --- wave-beach/dune interaction